16-3m=-2m-7(m-4)

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Solution for 16-3m=-2m-7(m-4) equation:


Simplifying
16 + -3m = -2m + -7(m + -4)

Reorder the terms:
16 + -3m = -2m + -7(-4 + m)
16 + -3m = -2m + (-4 * -7 + m * -7)
16 + -3m = -2m + (28 + -7m)

Reorder the terms:
16 + -3m = 28 + -2m + -7m

Combine like terms: -2m + -7m = -9m
16 + -3m = 28 + -9m

Solving
16 + -3m = 28 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
16 + -3m + 9m = 28 + -9m + 9m

Combine like terms: -3m + 9m = 6m
16 + 6m = 28 + -9m + 9m

Combine like terms: -9m + 9m = 0
16 + 6m = 28 + 0
16 + 6m = 28

Add '-16' to each side of the equation.
16 + -16 + 6m = 28 + -16

Combine like terms: 16 + -16 = 0
0 + 6m = 28 + -16
6m = 28 + -16

Combine like terms: 28 + -16 = 12
6m = 12

Divide each side by '6'.
m = 2

Simplifying
m = 2

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