2(m-10)=13-3(2m-1)

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Solution for 2(m-10)=13-3(2m-1) equation:


Simplifying
2(m + -10) = 13 + -3(2m + -1)

Reorder the terms:
2(-10 + m) = 13 + -3(2m + -1)
(-10 * 2 + m * 2) = 13 + -3(2m + -1)
(-20 + 2m) = 13 + -3(2m + -1)

Reorder the terms:
-20 + 2m = 13 + -3(-1 + 2m)
-20 + 2m = 13 + (-1 * -3 + 2m * -3)
-20 + 2m = 13 + (3 + -6m)

Combine like terms: 13 + 3 = 16
-20 + 2m = 16 + -6m

Solving
-20 + 2m = 16 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
-20 + 2m + 6m = 16 + -6m + 6m

Combine like terms: 2m + 6m = 8m
-20 + 8m = 16 + -6m + 6m

Combine like terms: -6m + 6m = 0
-20 + 8m = 16 + 0
-20 + 8m = 16

Add '20' to each side of the equation.
-20 + 20 + 8m = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 8m = 16 + 20
8m = 16 + 20

Combine like terms: 16 + 20 = 36
8m = 36

Divide each side by '8'.
m = 4.5

Simplifying
m = 4.5

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