7m-2(m+2)+16=7m-3

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Solution for 7m-2(m+2)+16=7m-3 equation:


Simplifying
7m + -2(m + 2) + 16 = 7m + -3

Reorder the terms:
7m + -2(2 + m) + 16 = 7m + -3
7m + (2 * -2 + m * -2) + 16 = 7m + -3
7m + (-4 + -2m) + 16 = 7m + -3

Reorder the terms:
-4 + 16 + 7m + -2m = 7m + -3

Combine like terms: -4 + 16 = 12
12 + 7m + -2m = 7m + -3

Combine like terms: 7m + -2m = 5m
12 + 5m = 7m + -3

Reorder the terms:
12 + 5m = -3 + 7m

Solving
12 + 5m = -3 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
12 + 5m + -7m = -3 + 7m + -7m

Combine like terms: 5m + -7m = -2m
12 + -2m = -3 + 7m + -7m

Combine like terms: 7m + -7m = 0
12 + -2m = -3 + 0
12 + -2m = -3

Add '-12' to each side of the equation.
12 + -12 + -2m = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -2m = -3 + -12
-2m = -3 + -12

Combine like terms: -3 + -12 = -15
-2m = -15

Divide each side by '-2'.
m = 7.5

Simplifying
m = 7.5

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