-5(6+7n)=n+7(n+8)

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Solution for -5(6+7n)=n+7(n+8) equation: 


Simplifying
-5(6 + 7n) = n + 7(n + 8)
(6 * -5 + 7n * -5) = n + 7(n + 8)
(-30 + -35n) = n + 7(n + 8)

Reorder the terms:
-30 + -35n = n + 7(8 + n)
-30 + -35n = n + (8 * 7 + n * 7)
-30 + -35n = n + (56 + 7n)

Reorder the terms:
-30 + -35n = 56 + n + 7n

Combine like terms: n + 7n = 8n
-30 + -35n = 56 + 8n

Solving
-30 + -35n = 56 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-30 + -35n + -8n = 56 + 8n + -8n

Combine like terms: -35n + -8n = -43n
-30 + -43n = 56 + 8n + -8n

Combine like terms: 8n + -8n = 0
-30 + -43n = 56 + 0
-30 + -43n = 56

Add '30' to each side of the equation.
-30 + 30 + -43n = 56 + 30

Combine like terms: -30 + 30 = 0
0 + -43n = 56 + 30
-43n = 56 + 30

Combine like terms: 56 + 30 = 86
-43n = 86

Divide each side by '-43'.
n = -2

Simplifying
n = -2

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