4(2n+2)=7(6n+7)+8

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Solution for 4(2n+2)=7(6n+7)+8 equation: 


Simplifying
4(2n + 2) = 7(6n + 7) + 8

Reorder the terms:
4(2 + 2n) = 7(6n + 7) + 8
(2 * 4 + 2n * 4) = 7(6n + 7) + 8
(8 + 8n) = 7(6n + 7) + 8

Reorder the terms:
8 + 8n = 7(7 + 6n) + 8
8 + 8n = (7 * 7 + 6n * 7) + 8
8 + 8n = (49 + 42n) + 8

Reorder the terms:
8 + 8n = 49 + 8 + 42n

Combine like terms: 49 + 8 = 57
8 + 8n = 57 + 42n

Solving
8 + 8n = 57 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
8 + 8n + -42n = 57 + 42n + -42n

Combine like terms: 8n + -42n = -34n
8 + -34n = 57 + 42n + -42n

Combine like terms: 42n + -42n = 0
8 + -34n = 57 + 0
8 + -34n = 57

Add '-8' to each side of the equation.
8 + -8 + -34n = 57 + -8

Combine like terms: 8 + -8 = 0
0 + -34n = 57 + -8
-34n = 57 + -8

Combine like terms: 57 + -8 = 49
-34n = 49

Divide each side by '-34'.
n = -1.441176471

Simplifying
n = -1.441176471

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