4m+9=-2(m-5)+2

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Solution for 4m+9=-2(m-5)+2 equation:


Simplifying
4m + 9 = -2(m + -5) + 2

Reorder the terms:
9 + 4m = -2(m + -5) + 2

Reorder the terms:
9 + 4m = -2(-5 + m) + 2
9 + 4m = (-5 * -2 + m * -2) + 2
9 + 4m = (10 + -2m) + 2

Reorder the terms:
9 + 4m = 10 + 2 + -2m

Combine like terms: 10 + 2 = 12
9 + 4m = 12 + -2m

Solving
9 + 4m = 12 + -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 + 4m + 2m = 12 + -2m + 2m

Combine like terms: 4m + 2m = 6m
9 + 6m = 12 + -2m + 2m

Combine like terms: -2m + 2m = 0
9 + 6m = 12 + 0
9 + 6m = 12

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

Combine like terms: 9 + -9 = 0
0 + 6m = 12 + -9
6m = 12 + -9

Combine like terms: 12 + -9 = 3
6m = 3

Divide each side by '6'.
m = 0.5

Simplifying
m = 0.5

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