5(2n+2)=7(8n+8)+8

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Solution for 5(2n+2)=7(8n+8)+8 equation: 


Simplifying
5(2n + 2) = 7(8n + 8) + 8

Reorder the terms:
5(2 + 2n) = 7(8n + 8) + 8
(2 * 5 + 2n * 5) = 7(8n + 8) + 8
(10 + 10n) = 7(8n + 8) + 8

Reorder the terms:
10 + 10n = 7(8 + 8n) + 8
10 + 10n = (8 * 7 + 8n * 7) + 8
10 + 10n = (56 + 56n) + 8

Reorder the terms:
10 + 10n = 56 + 8 + 56n

Combine like terms: 56 + 8 = 64
10 + 10n = 64 + 56n

Solving
10 + 10n = 64 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
10 + 10n + -56n = 64 + 56n + -56n

Combine like terms: 10n + -56n = -46n
10 + -46n = 64 + 56n + -56n

Combine like terms: 56n + -56n = 0
10 + -46n = 64 + 0
10 + -46n = 64

Add '-10' to each side of the equation.
10 + -10 + -46n = 64 + -10

Combine like terms: 10 + -10 = 0
0 + -46n = 64 + -10
-46n = 64 + -10

Combine like terms: 64 + -10 = 54
-46n = 54

Divide each side by '-46'.
n = -1.173913043

Simplifying
n = -1.173913043

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