3m+5(3-m)=3-4m

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Solution for 3m+5(3-m)=3-4m equation:


Simplifying
3m + 5(3 + -1m) = 3 + -4m
3m + (3 * 5 + -1m * 5) = 3 + -4m
3m + (15 + -5m) = 3 + -4m

Reorder the terms:
15 + 3m + -5m = 3 + -4m

Combine like terms: 3m + -5m = -2m
15 + -2m = 3 + -4m

Solving
15 + -2m = 3 + -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.
15 + -2m + 4m = 3 + -4m + 4m

Combine like terms: -2m + 4m = 2m
15 + 2m = 3 + -4m + 4m

Combine like terms: -4m + 4m = 0
15 + 2m = 3 + 0
15 + 2m = 3

Add '-15' to each side of the equation.
15 + -15 + 2m = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 2m = 3 + -15
2m = 3 + -15

Combine like terms: 3 + -15 = -12
2m = -12

Divide each side by '2'.
m = -6

Simplifying
m = -6

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