3(m-22)=6-2(m-4)

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Solution for 3(m-22)=6-2(m-4) equation:


Simplifying
3(m + -22) = 6 + -2(m + -4)

Reorder the terms:
3(-22 + m) = 6 + -2(m + -4)
(-22 * 3 + m * 3) = 6 + -2(m + -4)
(-66 + 3m) = 6 + -2(m + -4)

Reorder the terms:
-66 + 3m = 6 + -2(-4 + m)
-66 + 3m = 6 + (-4 * -2 + m * -2)
-66 + 3m = 6 + (8 + -2m)

Combine like terms: 6 + 8 = 14
-66 + 3m = 14 + -2m

Solving
-66 + 3m = 14 + -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.
-66 + 3m + 2m = 14 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-66 + 5m = 14 + -2m + 2m

Combine like terms: -2m + 2m = 0
-66 + 5m = 14 + 0
-66 + 5m = 14

Add '66' to each side of the equation.
-66 + 66 + 5m = 14 + 66

Combine like terms: -66 + 66 = 0
0 + 5m = 14 + 66
5m = 14 + 66

Combine like terms: 14 + 66 = 80
5m = 80

Divide each side by '5'.
m = 16

Simplifying
m = 16

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