14(m-12)=16+10(3m-4)

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Solution for 14(m-12)=16+10(3m-4) equation:


Simplifying
14(m + -12) = 16 + 10(3m + -4)

Reorder the terms:
14(-12 + m) = 16 + 10(3m + -4)
(-12 * 14 + m * 14) = 16 + 10(3m + -4)
(-168 + 14m) = 16 + 10(3m + -4)

Reorder the terms:
-168 + 14m = 16 + 10(-4 + 3m)
-168 + 14m = 16 + (-4 * 10 + 3m * 10)
-168 + 14m = 16 + (-40 + 30m)

Combine like terms: 16 + -40 = -24
-168 + 14m = -24 + 30m

Solving
-168 + 14m = -24 + 30m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-30m' to each side of the equation.
-168 + 14m + -30m = -24 + 30m + -30m

Combine like terms: 14m + -30m = -16m
-168 + -16m = -24 + 30m + -30m

Combine like terms: 30m + -30m = 0
-168 + -16m = -24 + 0
-168 + -16m = -24

Add '168' to each side of the equation.
-168 + 168 + -16m = -24 + 168

Combine like terms: -168 + 168 = 0
0 + -16m = -24 + 168
-16m = -24 + 168

Combine like terms: -24 + 168 = 144
-16m = 144

Divide each side by '-16'.
m = -9

Simplifying
m = -9

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