9(6m-5)=6(2-3m)+5

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Solution for 9(6m-5)=6(2-3m)+5 equation:


Simplifying
9(6m + -5) = 6(2 + -3m) + 5

Reorder the terms:
9(-5 + 6m) = 6(2 + -3m) + 5
(-5 * 9 + 6m * 9) = 6(2 + -3m) + 5
(-45 + 54m) = 6(2 + -3m) + 5
-45 + 54m = (2 * 6 + -3m * 6) + 5
-45 + 54m = (12 + -18m) + 5

Reorder the terms:
-45 + 54m = 12 + 5 + -18m

Combine like terms: 12 + 5 = 17
-45 + 54m = 17 + -18m

Solving
-45 + 54m = 17 + -18m

Solving for variable 'm'.

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

Add '18m' to each side of the equation.
-45 + 54m + 18m = 17 + -18m + 18m

Combine like terms: 54m + 18m = 72m
-45 + 72m = 17 + -18m + 18m

Combine like terms: -18m + 18m = 0
-45 + 72m = 17 + 0
-45 + 72m = 17

Add '45' to each side of the equation.
-45 + 45 + 72m = 17 + 45

Combine like terms: -45 + 45 = 0
0 + 72m = 17 + 45
72m = 17 + 45

Combine like terms: 17 + 45 = 62
72m = 62

Divide each side by '72'.
m = 0.8611111111

Simplifying
m = 0.8611111111

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