2(2m+1)-3(m+2)=-13

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Solution for 2(2m+1)-3(m+2)=-13 equation: 


Simplifying
2(2m + 1) + -3(m + 2) = -13

Reorder the terms:
2(1 + 2m) + -3(m + 2) = -13
(1 * 2 + 2m * 2) + -3(m + 2) = -13
(2 + 4m) + -3(m + 2) = -13

Reorder the terms:
2 + 4m + -3(2 + m) = -13
2 + 4m + (2 * -3 + m * -3) = -13
2 + 4m + (-6 + -3m) = -13

Reorder the terms:
2 + -6 + 4m + -3m = -13

Combine like terms: 2 + -6 = -4
-4 + 4m + -3m = -13

Combine like terms: 4m + -3m = 1m
-4 + 1m = -13

Solving
-4 + 1m = -13

Solving for variable 'm'.

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

Add '4' to each side of the equation.
-4 + 4 + 1m = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 1m = -13 + 4
1m = -13 + 4

Combine like terms: -13 + 4 = -9
1m = -9

Divide each side by '1'.
m = -9

Simplifying
m = -9

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