9(2m+1)+2(5m+3)=71

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Solution for 9(2m+1)+2(5m+3)=71 equation:


Simplifying
9(2m + 1) + 2(5m + 3) = 71

Reorder the terms:
9(1 + 2m) + 2(5m + 3) = 71
(1 * 9 + 2m * 9) + 2(5m + 3) = 71
(9 + 18m) + 2(5m + 3) = 71

Reorder the terms:
9 + 18m + 2(3 + 5m) = 71
9 + 18m + (3 * 2 + 5m * 2) = 71
9 + 18m + (6 + 10m) = 71

Reorder the terms:
9 + 6 + 18m + 10m = 71

Combine like terms: 9 + 6 = 15
15 + 18m + 10m = 71

Combine like terms: 18m + 10m = 28m
15 + 28m = 71

Solving
15 + 28m = 71

Solving for variable 'm'.

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

Add '-15' to each side of the equation.
15 + -15 + 28m = 71 + -15

Combine like terms: 15 + -15 = 0
0 + 28m = 71 + -15
28m = 71 + -15

Combine like terms: 71 + -15 = 56
28m = 56

Divide each side by '28'.
m = 2

Simplifying
m = 2

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