7m+4=5(m-2)

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Solution for 7m+4=5(m-2) equation:


Simplifying
7m + 4 = 5(m + -2)

Reorder the terms:
4 + 7m = 5(m + -2)

Reorder the terms:
4 + 7m = 5(-2 + m)
4 + 7m = (-2 * 5 + m * 5)
4 + 7m = (-10 + 5m)

Solving
4 + 7m = -10 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
4 + 7m + -5m = -10 + 5m + -5m

Combine like terms: 7m + -5m = 2m
4 + 2m = -10 + 5m + -5m

Combine like terms: 5m + -5m = 0
4 + 2m = -10 + 0
4 + 2m = -10

Add '-4' to each side of the equation.
4 + -4 + 2m = -10 + -4

Combine like terms: 4 + -4 = 0
0 + 2m = -10 + -4
2m = -10 + -4

Combine like terms: -10 + -4 = -14
2m = -14

Divide each side by '2'.
m = -7

Simplifying
m = -7

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