2(2n+2)=7(6n+1)+8

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Solution for 2(2n+2)=7(6n+1)+8 equation: 


Simplifying
2(2n + 2) = 7(6n + 1) + 8

Reorder the terms:
2(2 + 2n) = 7(6n + 1) + 8
(2 * 2 + 2n * 2) = 7(6n + 1) + 8
(4 + 4n) = 7(6n + 1) + 8

Reorder the terms:
4 + 4n = 7(1 + 6n) + 8
4 + 4n = (1 * 7 + 6n * 7) + 8
4 + 4n = (7 + 42n) + 8

Reorder the terms:
4 + 4n = 7 + 8 + 42n

Combine like terms: 7 + 8 = 15
4 + 4n = 15 + 42n

Solving
4 + 4n = 15 + 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.
4 + 4n + -42n = 15 + 42n + -42n

Combine like terms: 4n + -42n = -38n
4 + -38n = 15 + 42n + -42n

Combine like terms: 42n + -42n = 0
4 + -38n = 15 + 0
4 + -38n = 15

Add '-4' to each side of the equation.
4 + -4 + -38n = 15 + -4

Combine like terms: 4 + -4 = 0
0 + -38n = 15 + -4
-38n = 15 + -4

Combine like terms: 15 + -4 = 11
-38n = 11

Divide each side by '-38'.
n = -0.2894736842

Simplifying
n = -0.2894736842

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