(m+30)+2m+3m+84+66=360

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Solution for (m+30)+2m+3m+84+66=360 equation:


Simplifying
(m + 30) + 2m + 3m + 84 + 66 = 360

Reorder the terms:
(30 + m) + 2m + 3m + 84 + 66 = 360

Remove parenthesis around (30 + m)
30 + m + 2m + 3m + 84 + 66 = 360

Reorder the terms:
30 + 84 + 66 + m + 2m + 3m = 360

Combine like terms: 30 + 84 = 114
114 + 66 + m + 2m + 3m = 360

Combine like terms: 114 + 66 = 180
180 + m + 2m + 3m = 360

Combine like terms: m + 2m = 3m
180 + 3m + 3m = 360

Combine like terms: 3m + 3m = 6m
180 + 6m = 360

Solving
180 + 6m = 360

Solving for variable 'm'.

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

Add '-180' to each side of the equation.
180 + -180 + 6m = 360 + -180

Combine like terms: 180 + -180 = 0
0 + 6m = 360 + -180
6m = 360 + -180

Combine like terms: 360 + -180 = 180
6m = 180

Divide each side by '6'.
m = 30

Simplifying
m = 30

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