14-6(3m+7)=-2m+16

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Solution for 14-6(3m+7)=-2m+16 equation: 


Simplifying
14 + -6(3m + 7) = -2m + 16

Reorder the terms:
14 + -6(7 + 3m) = -2m + 16
14 + (7 * -6 + 3m * -6) = -2m + 16
14 + (-42 + -18m) = -2m + 16

Combine like terms: 14 + -42 = -28
-28 + -18m = -2m + 16

Reorder the terms:
-28 + -18m = 16 + -2m

Solving
-28 + -18m = 16 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-28 + -18m + 2m = 16 + -2m + 2m

Combine like terms: -18m + 2m = -16m
-28 + -16m = 16 + -2m + 2m

Combine like terms: -2m + 2m = 0
-28 + -16m = 16 + 0
-28 + -16m = 16

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

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

Combine like terms: 16 + 28 = 44
-16m = 44

Divide each side by '-16'.
m = -2.75

Simplifying
m = -2.75

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