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

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


Simplifying
8(1 + 2n) + -2n = 6(6 + 7n)
(1 * 8 + 2n * 8) + -2n = 6(6 + 7n)
(8 + 16n) + -2n = 6(6 + 7n)

Combine like terms: 16n + -2n = 14n
8 + 14n = 6(6 + 7n)
8 + 14n = (6 * 6 + 7n * 6)
8 + 14n = (36 + 42n)

Solving
8 + 14n = 36 + 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 + 14n + -42n = 36 + 42n + -42n

Combine like terms: 14n + -42n = -28n
8 + -28n = 36 + 42n + -42n

Combine like terms: 42n + -42n = 0
8 + -28n = 36 + 0
8 + -28n = 36

Add '-8' to each side of the equation.
8 + -8 + -28n = 36 + -8

Combine like terms: 8 + -8 = 0
0 + -28n = 36 + -8
-28n = 36 + -8

Combine like terms: 36 + -8 = 28
-28n = 28

Divide each side by '-28'.
n = -1

Simplifying
n = -1

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