2m+3(5m+6)=84

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Solution for 2m+3(5m+6)=84 equation:


Simplifying
2m + 3(5m + 6) = 84

Reorder the terms:
2m + 3(6 + 5m) = 84
2m + (6 * 3 + 5m * 3) = 84
2m + (18 + 15m) = 84

Reorder the terms:
18 + 2m + 15m = 84

Combine like terms: 2m + 15m = 17m
18 + 17m = 84

Solving
18 + 17m = 84

Solving for variable 'm'.

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

Add '-18' to each side of the equation.
18 + -18 + 17m = 84 + -18

Combine like terms: 18 + -18 = 0
0 + 17m = 84 + -18
17m = 84 + -18

Combine like terms: 84 + -18 = 66
17m = 66

Divide each side by '17'.
m = 3.882352941

Simplifying
m = 3.882352941

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