9(n-6)=-7(12-n)

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Solution for 9(n-6)=-7(12-n) equation:


Simplifying
9(n + -6) = -7(12 + -1n)

Reorder the terms:
9(-6 + n) = -7(12 + -1n)
(-6 * 9 + n * 9) = -7(12 + -1n)
(-54 + 9n) = -7(12 + -1n)
-54 + 9n = (12 * -7 + -1n * -7)
-54 + 9n = (-84 + 7n)

Solving
-54 + 9n = -84 + 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.
-54 + 9n + -7n = -84 + 7n + -7n

Combine like terms: 9n + -7n = 2n
-54 + 2n = -84 + 7n + -7n

Combine like terms: 7n + -7n = 0
-54 + 2n = -84 + 0
-54 + 2n = -84

Add '54' to each side of the equation.
-54 + 54 + 2n = -84 + 54

Combine like terms: -54 + 54 = 0
0 + 2n = -84 + 54
2n = -84 + 54

Combine like terms: -84 + 54 = -30
2n = -30

Divide each side by '2'.
n = -15

Simplifying
n = -15

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