14-(x+m)=3(m+9)-10

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Solution for 14-(x+m)=3(m+9)-10 equation: 


Simplifying
14 + -1(x + m) = 3(m + 9) + -10

Reorder the terms:
14 + -1(m + x) = 3(m + 9) + -10
14 + (m * -1 + x * -1) = 3(m + 9) + -10
14 + (-1m + -1x) = 3(m + 9) + -10

Reorder the terms:
14 + -1m + -1x = 3(9 + m) + -10
14 + -1m + -1x = (9 * 3 + m * 3) + -10
14 + -1m + -1x = (27 + 3m) + -10

Reorder the terms:
14 + -1m + -1x = 27 + -10 + 3m

Combine like terms: 27 + -10 = 17
14 + -1m + -1x = 17 + 3m

Solving
14 + -1m + -1x = 17 + 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.
14 + -1m + -3m + -1x = 17 + 3m + -3m

Combine like terms: -1m + -3m = -4m
14 + -4m + -1x = 17 + 3m + -3m

Combine like terms: 3m + -3m = 0
14 + -4m + -1x = 17 + 0
14 + -4m + -1x = 17

Add '-14' to each side of the equation.
14 + -4m + -14 + -1x = 17 + -14

Reorder the terms:
14 + -14 + -4m + -1x = 17 + -14

Combine like terms: 14 + -14 = 0
0 + -4m + -1x = 17 + -14
-4m + -1x = 17 + -14

Combine like terms: 17 + -14 = 3
-4m + -1x = 3

Add 'x' to each side of the equation.
-4m + -1x + x = 3 + x

Combine like terms: -1x + x = 0
-4m + 0 = 3 + x
-4m = 3 + x

Divide each side by '-4'.
m = -0.75 + -0.25x

Simplifying
m = -0.75 + -0.25x

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