14-(2m+7)=5+4m-16

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Solution for 14-(2m+7)=5+4m-16 equation:


Simplifying
14 + -1(2m + 7) = 5 + 4m + -16

Reorder the terms:
14 + -1(7 + 2m) = 5 + 4m + -16
14 + (7 * -1 + 2m * -1) = 5 + 4m + -16
14 + (-7 + -2m) = 5 + 4m + -16

Combine like terms: 14 + -7 = 7
7 + -2m = 5 + 4m + -16

Reorder the terms:
7 + -2m = 5 + -16 + 4m

Combine like terms: 5 + -16 = -11
7 + -2m = -11 + 4m

Solving
7 + -2m = -11 + 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.
7 + -2m + -4m = -11 + 4m + -4m

Combine like terms: -2m + -4m = -6m
7 + -6m = -11 + 4m + -4m

Combine like terms: 4m + -4m = 0
7 + -6m = -11 + 0
7 + -6m = -11

Add '-7' to each side of the equation.
7 + -7 + -6m = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -6m = -11 + -7
-6m = -11 + -7

Combine like terms: -11 + -7 = -18
-6m = -18

Divide each side by '-6'.
m = 3

Simplifying
m = 3

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