3m+7-5m=6-(2+m)

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Solution for 3m+7-5m=6-(2+m) equation:


Simplifying
3m + 7 + -5m = 6 + -1(2 + m)

Reorder the terms:
7 + 3m + -5m = 6 + -1(2 + m)

Combine like terms: 3m + -5m = -2m
7 + -2m = 6 + -1(2 + m)
7 + -2m = 6 + (2 * -1 + m * -1)
7 + -2m = 6 + (-2 + -1m)

Combine like terms: 6 + -2 = 4
7 + -2m = 4 + -1m

Solving
7 + -2m = 4 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
7 + -2m + m = 4 + -1m + m

Combine like terms: -2m + m = -1m
7 + -1m = 4 + -1m + m

Combine like terms: -1m + m = 0
7 + -1m = 4 + 0
7 + -1m = 4

Add '-7' to each side of the equation.
7 + -7 + -1m = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 4 + -7
-1m = 4 + -7

Combine like terms: 4 + -7 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3

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