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

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


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

Reorder the terms:
9(2 + m) = 6 + -6(m + 7)
(2 * 9 + m * 9) = 6 + -6(m + 7)
(18 + 9m) = 6 + -6(m + 7)

Reorder the terms:
18 + 9m = 6 + -6(7 + m)
18 + 9m = 6 + (7 * -6 + m * -6)
18 + 9m = 6 + (-42 + -6m)

Combine like terms: 6 + -42 = -36
18 + 9m = -36 + -6m

Solving
18 + 9m = -36 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
18 + 9m + 6m = -36 + -6m + 6m

Combine like terms: 9m + 6m = 15m
18 + 15m = -36 + -6m + 6m

Combine like terms: -6m + 6m = 0
18 + 15m = -36 + 0
18 + 15m = -36

Add '-18' to each side of the equation.
18 + -18 + 15m = -36 + -18

Combine like terms: 18 + -18 = 0
0 + 15m = -36 + -18
15m = -36 + -18

Combine like terms: -36 + -18 = -54
15m = -54

Divide each side by '15'.
m = -3.6

Simplifying
m = -3.6

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