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

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


Simplifying
9(m + 2) = 6 + -1(m + 7)

Reorder the terms:
9(2 + m) = 6 + -1(m + 7)
(2 * 9 + m * 9) = 6 + -1(m + 7)
(18 + 9m) = 6 + -1(m + 7)

Reorder the terms:
18 + 9m = 6 + -1(7 + m)
18 + 9m = 6 + (7 * -1 + m * -1)
18 + 9m = 6 + (-7 + -1m)

Combine like terms: 6 + -7 = -1
18 + 9m = -1 + -1m

Solving
18 + 9m = -1 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
18 + 9m + m = -1 + -1m + m

Combine like terms: 9m + m = 10m
18 + 10m = -1 + -1m + m

Combine like terms: -1m + m = 0
18 + 10m = -1 + 0
18 + 10m = -1

Add '-18' to each side of the equation.
18 + -18 + 10m = -1 + -18

Combine like terms: 18 + -18 = 0
0 + 10m = -1 + -18
10m = -1 + -18

Combine like terms: -1 + -18 = -19
10m = -19

Divide each side by '10'.
m = -1.9

Simplifying
m = -1.9

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