6(2n+7)=-14+5n

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Solution for 6(2n+7)=-14+5n equation:


Simplifying
6(2n + 7) = -14 + 5n

Reorder the terms:
6(7 + 2n) = -14 + 5n
(7 * 6 + 2n * 6) = -14 + 5n
(42 + 12n) = -14 + 5n

Solving
42 + 12n = -14 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
42 + 12n + -5n = -14 + 5n + -5n

Combine like terms: 12n + -5n = 7n
42 + 7n = -14 + 5n + -5n

Combine like terms: 5n + -5n = 0
42 + 7n = -14 + 0
42 + 7n = -14

Add '-42' to each side of the equation.
42 + -42 + 7n = -14 + -42

Combine like terms: 42 + -42 = 0
0 + 7n = -14 + -42
7n = -14 + -42

Combine like terms: -14 + -42 = -56
7n = -56

Divide each side by '7'.
n = -8

Simplifying
n = -8

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