-7(8-8n)+8(n-4)=40

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Solution for -7(8-8n)+8(n-4)=40 equation:


Simplifying
-7(8 + -8n) + 8(n + -4) = 40
(8 * -7 + -8n * -7) + 8(n + -4) = 40
(-56 + 56n) + 8(n + -4) = 40

Reorder the terms:
-56 + 56n + 8(-4 + n) = 40
-56 + 56n + (-4 * 8 + n * 8) = 40
-56 + 56n + (-32 + 8n) = 40

Reorder the terms:
-56 + -32 + 56n + 8n = 40

Combine like terms: -56 + -32 = -88
-88 + 56n + 8n = 40

Combine like terms: 56n + 8n = 64n
-88 + 64n = 40

Solving
-88 + 64n = 40

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '88' to each side of the equation.
-88 + 88 + 64n = 40 + 88

Combine like terms: -88 + 88 = 0
0 + 64n = 40 + 88
64n = 40 + 88

Combine like terms: 40 + 88 = 128
64n = 128

Divide each side by '64'.
n = 2

Simplifying
n = 2

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