3m+7+2(2m-3)-3(m+3)=0

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Solution for 3m+7+2(2m-3)-3(m+3)=0 equation:


Simplifying
3m + 7 + 2(2m + -3) + -3(m + 3) = 0

Reorder the terms:
3m + 7 + 2(-3 + 2m) + -3(m + 3) = 0
3m + 7 + (-3 * 2 + 2m * 2) + -3(m + 3) = 0
3m + 7 + (-6 + 4m) + -3(m + 3) = 0

Reorder the terms:
3m + 7 + -6 + 4m + -3(3 + m) = 0
3m + 7 + -6 + 4m + (3 * -3 + m * -3) = 0
3m + 7 + -6 + 4m + (-9 + -3m) = 0

Reorder the terms:
7 + -6 + -9 + 3m + 4m + -3m = 0

Combine like terms: 7 + -6 = 1
1 + -9 + 3m + 4m + -3m = 0

Combine like terms: 1 + -9 = -8
-8 + 3m + 4m + -3m = 0

Combine like terms: 3m + 4m = 7m
-8 + 7m + -3m = 0

Combine like terms: 7m + -3m = 4m
-8 + 4m = 0

Solving
-8 + 4m = 0

Solving for variable 'm'.

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

Add '8' to each side of the equation.
-8 + 8 + 4m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4m = 0 + 8
4m = 0 + 8

Combine like terms: 0 + 8 = 8
4m = 8

Divide each side by '4'.
m = 2

Simplifying
m = 2

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