5(m-14)-3(6m-16)=2

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Solution for 5(m-14)-3(6m-16)=2 equation:


Simplifying
5(m + -14) + -3(6m + -16) = 2

Reorder the terms:
5(-14 + m) + -3(6m + -16) = 2
(-14 * 5 + m * 5) + -3(6m + -16) = 2
(-70 + 5m) + -3(6m + -16) = 2

Reorder the terms:
-70 + 5m + -3(-16 + 6m) = 2
-70 + 5m + (-16 * -3 + 6m * -3) = 2
-70 + 5m + (48 + -18m) = 2

Reorder the terms:
-70 + 48 + 5m + -18m = 2

Combine like terms: -70 + 48 = -22
-22 + 5m + -18m = 2

Combine like terms: 5m + -18m = -13m
-22 + -13m = 2

Solving
-22 + -13m = 2

Solving for variable 'm'.

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

Add '22' to each side of the equation.
-22 + 22 + -13m = 2 + 22

Combine like terms: -22 + 22 = 0
0 + -13m = 2 + 22
-13m = 2 + 22

Combine like terms: 2 + 22 = 24
-13m = 24

Divide each side by '-13'.
m = -1.846153846

Simplifying
m = -1.846153846

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