2m-3(4-m)=5+4(2m+1)

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Solution for 2m-3(4-m)=5+4(2m+1) equation: 


Simplifying
2m + -3(4 + -1m) = 5 + 4(2m + 1)
2m + (4 * -3 + -1m * -3) = 5 + 4(2m + 1)
2m + (-12 + 3m) = 5 + 4(2m + 1)

Reorder the terms:
-12 + 2m + 3m = 5 + 4(2m + 1)

Combine like terms: 2m + 3m = 5m
-12 + 5m = 5 + 4(2m + 1)

Reorder the terms:
-12 + 5m = 5 + 4(1 + 2m)
-12 + 5m = 5 + (1 * 4 + 2m * 4)
-12 + 5m = 5 + (4 + 8m)

Combine like terms: 5 + 4 = 9
-12 + 5m = 9 + 8m

Solving
-12 + 5m = 9 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
-12 + 5m + -8m = 9 + 8m + -8m

Combine like terms: 5m + -8m = -3m
-12 + -3m = 9 + 8m + -8m

Combine like terms: 8m + -8m = 0
-12 + -3m = 9 + 0
-12 + -3m = 9

Add '12' to each side of the equation.
-12 + 12 + -3m = 9 + 12

Combine like terms: -12 + 12 = 0
0 + -3m = 9 + 12
-3m = 9 + 12

Combine like terms: 9 + 12 = 21
-3m = 21

Divide each side by '-3'.
m = -7

Simplifying
m = -7

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