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

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


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

Reorder the terms:
-3 + m = 6 + 3(m + -5)

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

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

Solving
-3 + m = -9 + 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.
-3 + m + -3m = -9 + 3m + -3m

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

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

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

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

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

Divide each side by '-2'.
m = 3

Simplifying
m = 3

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