6(m+2)+4=-(-7m+3)

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Solution for 6(m+2)+4=-(-7m+3) equation:


Simplifying
6(m + 2) + 4 = -1(-7m + 3)

Reorder the terms:
6(2 + m) + 4 = -1(-7m + 3)
(2 * 6 + m * 6) + 4 = -1(-7m + 3)
(12 + 6m) + 4 = -1(-7m + 3)

Reorder the terms:
12 + 4 + 6m = -1(-7m + 3)

Combine like terms: 12 + 4 = 16
16 + 6m = -1(-7m + 3)

Reorder the terms:
16 + 6m = -1(3 + -7m)
16 + 6m = (3 * -1 + -7m * -1)
16 + 6m = (-3 + 7m)

Solving
16 + 6m = -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.
16 + 6m + -7m = -3 + 7m + -7m

Combine like terms: 6m + -7m = -1m
16 + -1m = -3 + 7m + -7m

Combine like terms: 7m + -7m = 0
16 + -1m = -3 + 0
16 + -1m = -3

Add '-16' to each side of the equation.
16 + -16 + -1m = -3 + -16

Combine like terms: 16 + -16 = 0
0 + -1m = -3 + -16
-1m = -3 + -16

Combine like terms: -3 + -16 = -19
-1m = -19

Divide each side by '-1'.
m = 19

Simplifying
m = 19

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