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

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


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

Reorder the terms:
6 = 9m + -3(5 + 2m)
6 = 9m + (5 * -3 + 2m * -3)
6 = 9m + (-15 + -6m)

Reorder the terms:
6 = -15 + 9m + -6m

Combine like terms: 9m + -6m = 3m
6 = -15 + 3m

Solving
6 = -15 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + -3m = -15 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -3m = -15 + 0
6 + -3m = -15

Add '-6' to each side of the equation.
6 + -6 + -3m = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -3m = -15 + -6
-3m = -15 + -6

Combine like terms: -15 + -6 = -21
-3m = -21

Divide each side by '-3'.
m = 7

Simplifying
m = 7

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