9-7n=-2(3+6n)

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Solution for 9-7n=-2(3+6n) equation:


Simplifying
9 + -7n = -2(3 + 6n)
9 + -7n = (3 * -2 + 6n * -2)
9 + -7n = (-6 + -12n)

Solving
9 + -7n = -6 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
9 + -7n + 12n = -6 + -12n + 12n

Combine like terms: -7n + 12n = 5n
9 + 5n = -6 + -12n + 12n

Combine like terms: -12n + 12n = 0
9 + 5n = -6 + 0
9 + 5n = -6

Add '-9' to each side of the equation.
9 + -9 + 5n = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 5n = -6 + -9
5n = -6 + -9

Combine like terms: -6 + -9 = -15
5n = -15

Divide each side by '5'.
n = -3

Simplifying
n = -3

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