8(m-3)-2(m-2)=20

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Solution for 8(m-3)-2(m-2)=20 equation:


Simplifying
8(m + -3) + -2(m + -2) = 20

Reorder the terms:
8(-3 + m) + -2(m + -2) = 20
(-3 * 8 + m * 8) + -2(m + -2) = 20
(-24 + 8m) + -2(m + -2) = 20

Reorder the terms:
-24 + 8m + -2(-2 + m) = 20
-24 + 8m + (-2 * -2 + m * -2) = 20
-24 + 8m + (4 + -2m) = 20

Reorder the terms:
-24 + 4 + 8m + -2m = 20

Combine like terms: -24 + 4 = -20
-20 + 8m + -2m = 20

Combine like terms: 8m + -2m = 6m
-20 + 6m = 20

Solving
-20 + 6m = 20

Solving for variable 'm'.

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

Add '20' to each side of the equation.
-20 + 20 + 6m = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 6m = 20 + 20
6m = 20 + 20

Combine like terms: 20 + 20 = 40
6m = 40

Divide each side by '6'.
m = 6.666666667

Simplifying
m = 6.666666667

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