5(m-12)-3(7m-14)=2

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Solution for 5(m-12)-3(7m-14)=2 equation:


Simplifying
5(m + -12) + -3(7m + -14) = 2

Reorder the terms:
5(-12 + m) + -3(7m + -14) = 2
(-12 * 5 + m * 5) + -3(7m + -14) = 2
(-60 + 5m) + -3(7m + -14) = 2

Reorder the terms:
-60 + 5m + -3(-14 + 7m) = 2
-60 + 5m + (-14 * -3 + 7m * -3) = 2
-60 + 5m + (42 + -21m) = 2

Reorder the terms:
-60 + 42 + 5m + -21m = 2

Combine like terms: -60 + 42 = -18
-18 + 5m + -21m = 2

Combine like terms: 5m + -21m = -16m
-18 + -16m = 2

Solving
-18 + -16m = 2

Solving for variable 'm'.

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

Add '18' to each side of the equation.
-18 + 18 + -16m = 2 + 18

Combine like terms: -18 + 18 = 0
0 + -16m = 2 + 18
-16m = 2 + 18

Combine like terms: 2 + 18 = 20
-16m = 20

Divide each side by '-16'.
m = -1.25

Simplifying
m = -1.25

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