How do you solve #-36= - 8u + 6( u - 8)#?

Answer 1

#u=-6#

#"distribute and simplify"#
#-36=-8u+6u-48#
#"add 48 to both sides"#
#-36+48=-2u#
#12=-2u#
#"divide both sides by "-2#
#12/(-2)=urArru=-6#
#color(blue)"As a check"#

If this value is equal to the left after being substituted into the right side of the equation, the solution is found.

#(-8xx-6)+(6xx-14)=48-84=-36#
#u=-6" is the solution"#
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Answer 2

#u = -6#

First, use FOIL to enlarge the brackets.

#-36 = -8u +6u - 48#
Then add like #u# terms
#-36 = -2u - 48#
Isolate #u# by taking the #-48# to the left side, changing its sign to positive #48#.
#-36 + 48 = -2u#
Add #-36# to #48# to get.
#12 = -2u#
You can’t have a negative answer, so you need to divide by #-2# on both sides. Diving two negatives gives a positive, hence
#12/-2 = (-2u)/-2#
#-6 = u#
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Answer 3

To solve the equation -36 = -8u + 6(u - 8), you first distribute the 6 to both terms inside the parentheses. This gives you -36 = -8u + 6u - 48. Then, you combine like terms on the right side of the equation. This gives you -36 = -2u - 48. Next, you add 48 to both sides to isolate the variable term. This gives you 12 = -2u. Finally, you divide both sides by -2 to solve for u. This gives you u = -6.

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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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