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

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


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

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

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

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

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

Solving
7 + -1m = 3 + 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.
7 + -1m + -3m = 3 + 3m + -3m

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

Combine like terms: 3m + -3m = 0
7 + -4m = 3 + 0
7 + -4m = 3

Add '-7' to each side of the equation.
7 + -7 + -4m = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -4m = 3 + -7
-4m = 3 + -7

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

Divide each side by '-4'.
m = 1

Simplifying
m = 1

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