6(5n+7)=7n-27

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Solution for 6(5n+7)=7n-27 equation:


Simplifying
6(5n + 7) = 7n + -27

Reorder the terms:
6(7 + 5n) = 7n + -27
(7 * 6 + 5n * 6) = 7n + -27
(42 + 30n) = 7n + -27

Reorder the terms:
42 + 30n = -27 + 7n

Solving
42 + 30n = -27 + 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.
42 + 30n + -7n = -27 + 7n + -7n

Combine like terms: 30n + -7n = 23n
42 + 23n = -27 + 7n + -7n

Combine like terms: 7n + -7n = 0
42 + 23n = -27 + 0
42 + 23n = -27

Add '-42' to each side of the equation.
42 + -42 + 23n = -27 + -42

Combine like terms: 42 + -42 = 0
0 + 23n = -27 + -42
23n = -27 + -42

Combine like terms: -27 + -42 = -69
23n = -69

Divide each side by '23'.
n = -3

Simplifying
n = -3

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