-7+2m=3(3-2m)+4m

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Solution for -7+2m=3(3-2m)+4m equation:


Simplifying
-7 + 2m = 3(3 + -2m) + 4m
-7 + 2m = (3 * 3 + -2m * 3) + 4m
-7 + 2m = (9 + -6m) + 4m

Combine like terms: -6m + 4m = -2m
-7 + 2m = 9 + -2m

Solving
-7 + 2m = 9 + -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.
-7 + 2m + 2m = 9 + -2m + 2m

Combine like terms: 2m + 2m = 4m
-7 + 4m = 9 + -2m + 2m

Combine like terms: -2m + 2m = 0
-7 + 4m = 9 + 0
-7 + 4m = 9

Add '7' to each side of the equation.
-7 + 7 + 4m = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 4m = 9 + 7
4m = 9 + 7

Combine like terms: 9 + 7 = 16
4m = 16

Divide each side by '4'.
m = 4

Simplifying
m = 4

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