-2m-9=-m+3(m+1)

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Solution for -2m-9=-m+3(m+1) equation:


Simplifying
-2m + -9 = -1m + 3(m + 1)

Reorder the terms:
-9 + -2m = -1m + 3(m + 1)

Reorder the terms:
-9 + -2m = -1m + 3(1 + m)
-9 + -2m = -1m + (1 * 3 + m * 3)
-9 + -2m = -1m + (3 + 3m)

Reorder the terms:
-9 + -2m = 3 + -1m + 3m

Combine like terms: -1m + 3m = 2m
-9 + -2m = 3 + 2m

Solving
-9 + -2m = 3 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-9 + -2m + -2m = 3 + 2m + -2m

Combine like terms: -2m + -2m = -4m
-9 + -4m = 3 + 2m + -2m

Combine like terms: 2m + -2m = 0
-9 + -4m = 3 + 0
-9 + -4m = 3

Add '9' to each side of the equation.
-9 + 9 + -4m = 3 + 9

Combine like terms: -9 + 9 = 0
0 + -4m = 3 + 9
-4m = 3 + 9

Combine like terms: 3 + 9 = 12
-4m = 12

Divide each side by '-4'.
m = -3

Simplifying
m = -3

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