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

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


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

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

Combine like terms: 17 + -3 = 14
14 + -2m = 3 + 4m + -19

Reorder the terms:
14 + -2m = 3 + -19 + 4m

Combine like terms: 3 + -19 = -16
14 + -2m = -16 + 4m

Solving
14 + -2m = -16 + 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.
14 + -2m + -4m = -16 + 4m + -4m

Combine like terms: -2m + -4m = -6m
14 + -6m = -16 + 4m + -4m

Combine like terms: 4m + -4m = 0
14 + -6m = -16 + 0
14 + -6m = -16

Add '-14' to each side of the equation.
14 + -14 + -6m = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -6m = -16 + -14
-6m = -16 + -14

Combine like terms: -16 + -14 = -30
-6m = -30

Divide each side by '-6'.
m = 5

Simplifying
m = 5

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