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

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


Simplifying
7 + -1(m + 4) = 2(2m + -5)

Reorder the terms:
7 + -1(4 + m) = 2(2m + -5)
7 + (4 * -1 + m * -1) = 2(2m + -5)
7 + (-4 + -1m) = 2(2m + -5)

Combine like terms: 7 + -4 = 3
3 + -1m = 2(2m + -5)

Reorder the terms:
3 + -1m = 2(-5 + 2m)
3 + -1m = (-5 * 2 + 2m * 2)
3 + -1m = (-10 + 4m)

Solving
3 + -1m = -10 + 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.
3 + -1m + -4m = -10 + 4m + -4m

Combine like terms: -1m + -4m = -5m
3 + -5m = -10 + 4m + -4m

Combine like terms: 4m + -4m = 0
3 + -5m = -10 + 0
3 + -5m = -10

Add '-3' to each side of the equation.
3 + -3 + -5m = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -5m = -10 + -3
-5m = -10 + -3

Combine like terms: -10 + -3 = -13
-5m = -13

Divide each side by '-5'.
m = 2.6

Simplifying
m = 2.6

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