19-(4m+6)=2+3m-17

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Solution for 19-(4m+6)=2+3m-17 equation:


Simplifying
19 + -1(4m + 6) = 2 + 3m + -17

Reorder the terms:
19 + -1(6 + 4m) = 2 + 3m + -17
19 + (6 * -1 + 4m * -1) = 2 + 3m + -17
19 + (-6 + -4m) = 2 + 3m + -17

Combine like terms: 19 + -6 = 13
13 + -4m = 2 + 3m + -17

Reorder the terms:
13 + -4m = 2 + -17 + 3m

Combine like terms: 2 + -17 = -15
13 + -4m = -15 + 3m

Solving
13 + -4m = -15 + 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.
13 + -4m + -3m = -15 + 3m + -3m

Combine like terms: -4m + -3m = -7m
13 + -7m = -15 + 3m + -3m

Combine like terms: 3m + -3m = 0
13 + -7m = -15 + 0
13 + -7m = -15

Add '-13' to each side of the equation.
13 + -13 + -7m = -15 + -13

Combine like terms: 13 + -13 = 0
0 + -7m = -15 + -13
-7m = -15 + -13

Combine like terms: -15 + -13 = -28
-7m = -28

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

Simplifying
m = 4

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