9(n+7)=2(n-6)

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Solution for 9(n+7)=2(n-6) equation:


Simplifying
9(n + 7) = 2(n + -6)

Reorder the terms:
9(7 + n) = 2(n + -6)
(7 * 9 + n * 9) = 2(n + -6)
(63 + 9n) = 2(n + -6)

Reorder the terms:
63 + 9n = 2(-6 + n)
63 + 9n = (-6 * 2 + n * 2)
63 + 9n = (-12 + 2n)

Solving
63 + 9n = -12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
63 + 9n + -2n = -12 + 2n + -2n

Combine like terms: 9n + -2n = 7n
63 + 7n = -12 + 2n + -2n

Combine like terms: 2n + -2n = 0
63 + 7n = -12 + 0
63 + 7n = -12

Add '-63' to each side of the equation.
63 + -63 + 7n = -12 + -63

Combine like terms: 63 + -63 = 0
0 + 7n = -12 + -63
7n = -12 + -63

Combine like terms: -12 + -63 = -75
7n = -75

Divide each side by '7'.
n = -10.71428571

Simplifying
n = -10.71428571

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