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

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


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

Reorder the terms:
2m + 4(-3 + m) = 7m + -4
2m + (-3 * 4 + m * 4) = 7m + -4
2m + (-12 + 4m) = 7m + -4

Reorder the terms:
-12 + 2m + 4m = 7m + -4

Combine like terms: 2m + 4m = 6m
-12 + 6m = 7m + -4

Reorder the terms:
-12 + 6m = -4 + 7m

Solving
-12 + 6m = -4 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-12 + 6m + -7m = -4 + 7m + -7m

Combine like terms: 6m + -7m = -1m
-12 + -1m = -4 + 7m + -7m

Combine like terms: 7m + -7m = 0
-12 + -1m = -4 + 0
-12 + -1m = -4

Add '12' to each side of the equation.
-12 + 12 + -1m = -4 + 12

Combine like terms: -12 + 12 = 0
0 + -1m = -4 + 12
-1m = -4 + 12

Combine like terms: -4 + 12 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8

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