M-3(m-3)=2(m+3)

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


Simplifying
M + -3(m + -3) = 2(m + 3)

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

Reorder the terms:
9 + M + -3m = 2(m + 3)

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

Solving
9 + M + -3m = 6 + 2m

Solving for variable 'M'.

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

Add '-9' to each side of the equation.
9 + M + -9 + -3m = 6 + -9 + 2m

Reorder the terms:
9 + -9 + M + -3m = 6 + -9 + 2m

Combine like terms: 9 + -9 = 0
0 + M + -3m = 6 + -9 + 2m
M + -3m = 6 + -9 + 2m

Combine like terms: 6 + -9 = -3
M + -3m = -3 + 2m

Add '3m' to each side of the equation.
M + -3m + 3m = -3 + 2m + 3m

Combine like terms: -3m + 3m = 0
M + 0 = -3 + 2m + 3m
M = -3 + 2m + 3m

Combine like terms: 2m + 3m = 5m
M = -3 + 5m

Simplifying
M = -3 + 5m

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