7m-2+3m+1=-3(1-3m)

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Solution for 7m-2+3m+1=-3(1-3m) equation:


Simplifying
7m + -2 + 3m + 1 = -3(1 + -3m)

Reorder the terms:
-2 + 1 + 7m + 3m = -3(1 + -3m)

Combine like terms: -2 + 1 = -1
-1 + 7m + 3m = -3(1 + -3m)

Combine like terms: 7m + 3m = 10m
-1 + 10m = -3(1 + -3m)
-1 + 10m = (1 * -3 + -3m * -3)
-1 + 10m = (-3 + 9m)

Solving
-1 + 10m = -3 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-1 + 10m + -9m = -3 + 9m + -9m

Combine like terms: 10m + -9m = 1m
-1 + 1m = -3 + 9m + -9m

Combine like terms: 9m + -9m = 0
-1 + 1m = -3 + 0
-1 + 1m = -3

Add '1' to each side of the equation.
-1 + 1 + 1m = -3 + 1

Combine like terms: -1 + 1 = 0
0 + 1m = -3 + 1
1m = -3 + 1

Combine like terms: -3 + 1 = -2
1m = -2

Divide each side by '1'.
m = -2

Simplifying
m = -2

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