How do you solve # 4(8n + 3) - 5 = 2(6n + 8) + 1 #?

Answer 1

#n=1/2#

#4(8n+3)-5 =2(6n+8)+1# #32n+12-5=12n+16+1# #32n+7=12n+17# #32n-12n = 17-7# #20n=10# #n=10/20=1/2#
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Answer 2

To solve the equation 4(8n + 3) - 5 = 2(6n + 8) + 1:

  1. Distribute the terms:

    • Expand 4(8n + 3) to get 32n + 12.
    • Expand 2(6n + 8) to get 12n + 16.
  2. Combine like terms:

    • Rewrite the equation as 32n + 12 - 5 = 12n + 16 + 1.
  3. Simplify:

    • Combine like terms on both sides of the equation to get 32n + 7 = 12n + 17.
  4. Move variables to one side and constants to the other side:

    • Subtract 12n from both sides to get 20n + 7 = 17.
    • Subtract 7 from both sides to get 20n = 10.
  5. Solve for n:

    • Divide both sides by 20 to get n = 10/20.
  6. Simplify the fraction:

    • Reduce 10/20 to get n = 1/2.

Therefore, the solution to the equation is n = 1/2.

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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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