[2m+3[m+4]]-2[m+1]=

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Solution for [2m+3[m+4]]-2[m+1]= equation: 


Simplifying
[2m + 3[m + 4]] + -2[m + 1] = 0

Reorder the terms:
[2m + 3[4 + m]] + -2[m + 1] = 0
[2m + [4 * 3 + m * 3]] + -2[m + 1] = 0
[2m + [12 + 3m]] + -2[m + 1] = 0

Reorder the terms:
[12 + 2m + 3m] + -2[m + 1] = 0

Combine like terms: 2m + 3m = 5m
[12 + 5m] + -2[m + 1] = 0

Remove brackets around [12 + 5m]
12 + 5m + -2[m + 1] = 0

Reorder the terms:
12 + 5m + -2[1 + m] = 0
12 + 5m + [1 * -2 + m * -2] = 0
12 + 5m + [-2 + -2m] = 0

Reorder the terms:
12 + -2 + 5m + -2m = 0

Combine like terms: 12 + -2 = 10
10 + 5m + -2m = 0

Combine like terms: 5m + -2m = 3m
10 + 3m = 0

Solving
10 + 3m = 0

Solving for variable 'm'.

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

Add '-10' to each side of the equation.
10 + -10 + 3m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = 0 + -10
3m = 0 + -10

Combine like terms: 0 + -10 = -10
3m = -10

Divide each side by '3'.
m = -3.333333333

Simplifying
m = -3.333333333

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