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

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Solution for 10(m+3)=9m-5(6+m) equation: 


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

Reorder the terms:
10(3 + m) = 9m + -5(6 + m)
(3 * 10 + m * 10) = 9m + -5(6 + m)
(30 + 10m) = 9m + -5(6 + m)
30 + 10m = 9m + (6 * -5 + m * -5)
30 + 10m = 9m + (-30 + -5m)

Reorder the terms:
30 + 10m = -30 + 9m + -5m

Combine like terms: 9m + -5m = 4m
30 + 10m = -30 + 4m

Solving
30 + 10m = -30 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
30 + 10m + -4m = -30 + 4m + -4m

Combine like terms: 10m + -4m = 6m
30 + 6m = -30 + 4m + -4m

Combine like terms: 4m + -4m = 0
30 + 6m = -30 + 0
30 + 6m = -30

Add '-30' to each side of the equation.
30 + -30 + 6m = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 6m = -30 + -30
6m = -30 + -30

Combine like terms: -30 + -30 = -60
6m = -60

Divide each side by '6'.
m = -10

Simplifying
m = -10

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