5m-2(m+2)=-2(2m+15)

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Solution for 5m-2(m+2)=-2(2m+15) equation:


Simplifying
5m + -2(m + 2) = -2(2m + 15)

Reorder the terms:
5m + -2(2 + m) = -2(2m + 15)
5m + (2 * -2 + m * -2) = -2(2m + 15)
5m + (-4 + -2m) = -2(2m + 15)

Reorder the terms:
-4 + 5m + -2m = -2(2m + 15)

Combine like terms: 5m + -2m = 3m
-4 + 3m = -2(2m + 15)

Reorder the terms:
-4 + 3m = -2(15 + 2m)
-4 + 3m = (15 * -2 + 2m * -2)
-4 + 3m = (-30 + -4m)

Solving
-4 + 3m = -30 + -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.
-4 + 3m + 4m = -30 + -4m + 4m

Combine like terms: 3m + 4m = 7m
-4 + 7m = -30 + -4m + 4m

Combine like terms: -4m + 4m = 0
-4 + 7m = -30 + 0
-4 + 7m = -30

Add '4' to each side of the equation.
-4 + 4 + 7m = -30 + 4

Combine like terms: -4 + 4 = 0
0 + 7m = -30 + 4
7m = -30 + 4

Combine like terms: -30 + 4 = -26
7m = -26

Divide each side by '7'.
m = -3.714285714

Simplifying
m = -3.714285714

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