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 = -16
-1m = -16

Divide each side by '-1'.
m = 16

Simplifying
m = 16

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