17-(3m+6)=4+4m-14

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Solution for 17-(3m+6)=4+4m-14 equation: 


Simplifying
17 + -1(3m + 6) = 4 + 4m + -14

Reorder the terms:
17 + -1(6 + 3m) = 4 + 4m + -14
17 + (6 * -1 + 3m * -1) = 4 + 4m + -14
17 + (-6 + -3m) = 4 + 4m + -14

Combine like terms: 17 + -6 = 11
11 + -3m = 4 + 4m + -14

Reorder the terms:
11 + -3m = 4 + -14 + 4m

Combine like terms: 4 + -14 = -10
11 + -3m = -10 + 4m

Solving
11 + -3m = -10 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
11 + -3m + -4m = -10 + 4m + -4m

Combine like terms: -3m + -4m = -7m
11 + -7m = -10 + 4m + -4m

Combine like terms: 4m + -4m = 0
11 + -7m = -10 + 0
11 + -7m = -10

Add '-11' to each side of the equation.
11 + -11 + -7m = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -7m = -10 + -11
-7m = -10 + -11

Combine like terms: -10 + -11 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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