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

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


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

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

Reorder the terms:
-24 + 8m + -3(-2 + m) = 20
-24 + 8m + (-2 * -3 + m * -3) = 20
-24 + 8m + (6 + -3m) = 20

Reorder the terms:
-24 + 6 + 8m + -3m = 20

Combine like terms: -24 + 6 = -18
-18 + 8m + -3m = 20

Combine like terms: 8m + -3m = 5m
-18 + 5m = 20

Solving
-18 + 5m = 20

Solving for variable 'm'.

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

Add '18' to each side of the equation.
-18 + 18 + 5m = 20 + 18

Combine like terms: -18 + 18 = 0
0 + 5m = 20 + 18
5m = 20 + 18

Combine like terms: 20 + 18 = 38
5m = 38

Divide each side by '5'.
m = 7.6

Simplifying
m = 7.6

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