105=3m+3(3m+3)

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Solution for 105=3m+3(3m+3) equation:


Simplifying
105 = 3m + 3(3m + 3)

Reorder the terms:
105 = 3m + 3(3 + 3m)
105 = 3m + (3 * 3 + 3m * 3)
105 = 3m + (9 + 9m)

Reorder the terms:
105 = 9 + 3m + 9m

Combine like terms: 3m + 9m = 12m
105 = 9 + 12m

Solving
105 = 9 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
105 + -12m = 9 + 12m + -12m

Combine like terms: 12m + -12m = 0
105 + -12m = 9 + 0
105 + -12m = 9

Add '-105' to each side of the equation.
105 + -105 + -12m = 9 + -105

Combine like terms: 105 + -105 = 0
0 + -12m = 9 + -105
-12m = 9 + -105

Combine like terms: 9 + -105 = -96
-12m = -96

Divide each side by '-12'.
m = 8

Simplifying
m = 8

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