How do you solve #1+ 3a = - 8- 4a#?

Answer 1

#a=-9/7#

#"collect terms in a on the left and numeric values on the "# #"right side of the equation"#
#"add 4a to both sides"#
#1+3a+4a=-8cancel(-4a)cancel(+4a)#
#rArr1+7a=-8#
#"subtract 1 from both sides"#
#cancel(1)cancel(-1)+7a=-8-1#
#rArr7a=-9#
#"divide both sides by 7"#
#(cancel(7) a)/cancel(7)=(-9)/7#
#rArra=-9/7#
#color(blue)"As a check"#

This value is the solution if you substitute it into the equation and both sides come out equal.

#"left "=7/7-27/7=-20/7#
#"right "=-56/7+36/7=-20/7#
#rArra=-9/7" is the solution"#
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Answer 2

#a = -(9)/(7)#

#1+3a=−8−4a#    Solve for #a#
1) Add #4a# to both sides to collect all the #a# terms on the same side. After you have added, you get this: #1 + 7a = - 8#
2) Subtract #1# from both sides to isolate the #7a# term After you subtract, you will have this: #7a = - 9#
3) Divide both sides by #7# to isolate #a# #a = -(9)/(7)# #larr# answer
#color(white)(mmmmmmmm)#―――――――――
Check 1) Sub in #-(9)/(7)# in the place of #a# in the original equation
#1+3a=−8−4a#
#1+3(-(9)/(7)) "should equal"−8−4(-(9)/(7))#
  1. Disperse the coefficients to remove the parenthesis.
#1 - (27)/(7)  "should equal" - 8 +(36)/(7)#
3) To add, give the whole numbers the common denominator of #7#
#(7)/(7) - (27)/(7) "should equal" - (56)/(7) +(36)/(7)#
  1. Include related terms
#-(20)/(7)  "does equal" - (20)/(7)#
#Check#
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Answer 3

To solve the equation (1 + 3a = -8 - 4a), you would first combine like terms by adding (4a) to both sides of the equation. Then, you would subtract (1) from both sides of the equation. Finally, you would divide both sides by (7) to isolate (a). The solution is (a = -\frac{9}{7}).

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Answer 4

To solve the equation 1 + 3a = -8 - 4a, first, combine like terms:

3a + 4a = -8 - 1

Then, simplify:

7a = -9

Finally, isolate the variable:

a = -9 / 7

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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