6m-3(m+5)=2(m-4)+m-7

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Solution for 6m-3(m+5)=2(m-4)+m-7 equation: 


Simplifying
6m + -3(m + 5) = 2(m + -4) + m + -7

Reorder the terms:
6m + -3(5 + m) = 2(m + -4) + m + -7
6m + (5 * -3 + m * -3) = 2(m + -4) + m + -7
6m + (-15 + -3m) = 2(m + -4) + m + -7

Reorder the terms:
-15 + 6m + -3m = 2(m + -4) + m + -7

Combine like terms: 6m + -3m = 3m
-15 + 3m = 2(m + -4) + m + -7

Reorder the terms:
-15 + 3m = 2(-4 + m) + m + -7
-15 + 3m = (-4 * 2 + m * 2) + m + -7
-15 + 3m = (-8 + 2m) + m + -7

Reorder the terms:
-15 + 3m = -8 + -7 + 2m + m

Combine like terms: -8 + -7 = -15
-15 + 3m = -15 + 2m + m

Combine like terms: 2m + m = 3m
-15 + 3m = -15 + 3m

Add '15' to each side of the equation.
-15 + 15 + 3m = -15 + 15 + 3m

Combine like terms: -15 + 15 = 0
0 + 3m = -15 + 15 + 3m
3m = -15 + 15 + 3m

Combine like terms: -15 + 15 = 0
3m = 0 + 3m
3m = 3m

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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