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

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


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

Reorder the terms:
2(8 + 6n) = 6 + 7n
(8 * 2 + 6n * 2) = 6 + 7n
(16 + 12n) = 6 + 7n

Solving
16 + 12n = 6 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
16 + 12n + -7n = 6 + 7n + -7n

Combine like terms: 12n + -7n = 5n
16 + 5n = 6 + 7n + -7n

Combine like terms: 7n + -7n = 0
16 + 5n = 6 + 0
16 + 5n = 6

Add '-16' to each side of the equation.
16 + -16 + 5n = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 5n = 6 + -16
5n = 6 + -16

Combine like terms: 6 + -16 = -10
5n = -10

Divide each side by '5'.
n = -2

Simplifying
n = -2

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