6m+14=-2(m-30)

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Solution for 6m+14=-2(m-30) equation:


Simplifying
6m + 14 = -2(m + -30)

Reorder the terms:
14 + 6m = -2(m + -30)

Reorder the terms:
14 + 6m = -2(-30 + m)
14 + 6m = (-30 * -2 + m * -2)
14 + 6m = (60 + -2m)

Solving
14 + 6m = 60 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
14 + 6m + 2m = 60 + -2m + 2m

Combine like terms: 6m + 2m = 8m
14 + 8m = 60 + -2m + 2m

Combine like terms: -2m + 2m = 0
14 + 8m = 60 + 0
14 + 8m = 60

Add '-14' to each side of the equation.
14 + -14 + 8m = 60 + -14

Combine like terms: 14 + -14 = 0
0 + 8m = 60 + -14
8m = 60 + -14

Combine like terms: 60 + -14 = 46
8m = 46

Divide each side by '8'.
m = 5.75

Simplifying
m = 5.75

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