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

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


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

Reorder the terms:
3(9 + m) = 5(m + -2)
(9 * 3 + m * 3) = 5(m + -2)
(27 + 3m) = 5(m + -2)

Reorder the terms:
27 + 3m = 5(-2 + m)
27 + 3m = (-2 * 5 + m * 5)
27 + 3m = (-10 + 5m)

Solving
27 + 3m = -10 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
27 + 3m + -5m = -10 + 5m + -5m

Combine like terms: 3m + -5m = -2m
27 + -2m = -10 + 5m + -5m

Combine like terms: 5m + -5m = 0
27 + -2m = -10 + 0
27 + -2m = -10

Add '-27' to each side of the equation.
27 + -27 + -2m = -10 + -27

Combine like terms: 27 + -27 = 0
0 + -2m = -10 + -27
-2m = -10 + -27

Combine like terms: -10 + -27 = -37
-2m = -37

Divide each side by '-2'.
m = 18.5

Simplifying
m = 18.5

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