17-(3m+7)=2+3m-16

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Solution for 17-(3m+7)=2+3m-16 equation: 


Simplifying
17 + -1(3m + 7) = 2 + 3m + -16

Reorder the terms:
17 + -1(7 + 3m) = 2 + 3m + -16
17 + (7 * -1 + 3m * -1) = 2 + 3m + -16
17 + (-7 + -3m) = 2 + 3m + -16

Combine like terms: 17 + -7 = 10
10 + -3m = 2 + 3m + -16

Reorder the terms:
10 + -3m = 2 + -16 + 3m

Combine like terms: 2 + -16 = -14
10 + -3m = -14 + 3m

Solving
10 + -3m = -14 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
10 + -3m + -3m = -14 + 3m + -3m

Combine like terms: -3m + -3m = -6m
10 + -6m = -14 + 3m + -3m

Combine like terms: 3m + -3m = 0
10 + -6m = -14 + 0
10 + -6m = -14

Add '-10' to each side of the equation.
10 + -10 + -6m = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -6m = -14 + -10
-6m = -14 + -10

Combine like terms: -14 + -10 = -24
-6m = -24

Divide each side by '-6'.
m = 4

Simplifying
m = 4

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