2(6m-36)+3(6m+30)=10

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Solution for 2(6m-36)+3(6m+30)=10 equation:


Simplifying
2(6m + -36) + 3(6m + 30) = 10

Reorder the terms:
2(-36 + 6m) + 3(6m + 30) = 10
(-36 * 2 + 6m * 2) + 3(6m + 30) = 10
(-72 + 12m) + 3(6m + 30) = 10

Reorder the terms:
-72 + 12m + 3(30 + 6m) = 10
-72 + 12m + (30 * 3 + 6m * 3) = 10
-72 + 12m + (90 + 18m) = 10

Reorder the terms:
-72 + 90 + 12m + 18m = 10

Combine like terms: -72 + 90 = 18
18 + 12m + 18m = 10

Combine like terms: 12m + 18m = 30m
18 + 30m = 10

Solving
18 + 30m = 10

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 + 30m = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 30m = 10 + -18
30m = 10 + -18

Combine like terms: 10 + -18 = -8
30m = -8

Divide each side by '30'.
m = -0.2666666667

Simplifying
m = -0.2666666667

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