17-(4m+5)=2+3m-18

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Solution for 17-(4m+5)=2+3m-18 equation:


Simplifying
17 + -1(4m + 5) = 2 + 3m + -18

Reorder the terms:
17 + -1(5 + 4m) = 2 + 3m + -18
17 + (5 * -1 + 4m * -1) = 2 + 3m + -18
17 + (-5 + -4m) = 2 + 3m + -18

Combine like terms: 17 + -5 = 12
12 + -4m = 2 + 3m + -18

Reorder the terms:
12 + -4m = 2 + -18 + 3m

Combine like terms: 2 + -18 = -16
12 + -4m = -16 + 3m

Solving
12 + -4m = -16 + 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.
12 + -4m + -3m = -16 + 3m + -3m

Combine like terms: -4m + -3m = -7m
12 + -7m = -16 + 3m + -3m

Combine like terms: 3m + -3m = 0
12 + -7m = -16 + 0
12 + -7m = -16

Add '-12' to each side of the equation.
12 + -12 + -7m = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -7m = -16 + -12
-7m = -16 + -12

Combine like terms: -16 + -12 = -28
-7m = -28

Divide each side by '-7'.
m = 4

Simplifying
m = 4

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