14-2(3m-4)=4(m+3)

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Solution for 14-2(3m-4)=4(m+3) equation: 


Simplifying
14 + -2(3m + -4) = 4(m + 3)

Reorder the terms:
14 + -2(-4 + 3m) = 4(m + 3)
14 + (-4 * -2 + 3m * -2) = 4(m + 3)
14 + (8 + -6m) = 4(m + 3)

Combine like terms: 14 + 8 = 22
22 + -6m = 4(m + 3)

Reorder the terms:
22 + -6m = 4(3 + m)
22 + -6m = (3 * 4 + m * 4)
22 + -6m = (12 + 4m)

Solving
22 + -6m = 12 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
22 + -6m + -4m = 12 + 4m + -4m

Combine like terms: -6m + -4m = -10m
22 + -10m = 12 + 4m + -4m

Combine like terms: 4m + -4m = 0
22 + -10m = 12 + 0
22 + -10m = 12

Add '-22' to each side of the equation.
22 + -22 + -10m = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -10m = 12 + -22
-10m = 12 + -22

Combine like terms: 12 + -22 = -10
-10m = -10

Divide each side by '-10'.
m = 1

Simplifying
m = 1

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