[7(m+4)-15]-[3(m-3)+2]=

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Solution for [7(m+4)-15]-[3(m-3)+2]= equation:


Simplifying
[7(m + 4) + -15] + -1[3(m + -3) + 2] = 0

Reorder the terms:
[7(4 + m) + -15] + -1[3(m + -3) + 2] = 0
[(4 * 7 + m * 7) + -15] + -1[3(m + -3) + 2] = 0
[(28 + 7m) + -15] + -1[3(m + -3) + 2] = 0

Reorder the terms:
[28 + -15 + 7m] + -1[3(m + -3) + 2] = 0

Combine like terms: 28 + -15 = 13
[13 + 7m] + -1[3(m + -3) + 2] = 0

Remove brackets around [13 + 7m]
13 + 7m + -1[3(m + -3) + 2] = 0

Reorder the terms:
13 + 7m + -1[3(-3 + m) + 2] = 0
13 + 7m + -1[(-3 * 3 + m * 3) + 2] = 0
13 + 7m + -1[(-9 + 3m) + 2] = 0

Reorder the terms:
13 + 7m + -1[-9 + 2 + 3m] = 0

Combine like terms: -9 + 2 = -7
13 + 7m + -1[-7 + 3m] = 0
13 + 7m + [-7 * -1 + 3m * -1] = 0
13 + 7m + [7 + -3m] = 0

Reorder the terms:
13 + 7 + 7m + -3m = 0

Combine like terms: 13 + 7 = 20
20 + 7m + -3m = 0

Combine like terms: 7m + -3m = 4m
20 + 4m = 0

Solving
20 + 4m = 0

Solving for variable 'm'.

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

Add '-20' to each side of the equation.
20 + -20 + 4m = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 4m = 0 + -20
4m = 0 + -20

Combine like terms: 0 + -20 = -20
4m = -20

Divide each side by '4'.
m = -5

Simplifying
m = -5

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