10-2r=3(5r-8)

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Solution for 10-2r=3(5r-8) equation: 


Simplifying
10 + -2r = 3(5r + -8)

Reorder the terms:
10 + -2r = 3(-8 + 5r)
10 + -2r = (-8 * 3 + 5r * 3)
10 + -2r = (-24 + 15r)

Solving
10 + -2r = -24 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
10 + -2r + -15r = -24 + 15r + -15r

Combine like terms: -2r + -15r = -17r
10 + -17r = -24 + 15r + -15r

Combine like terms: 15r + -15r = 0
10 + -17r = -24 + 0
10 + -17r = -24

Add '-10' to each side of the equation.
10 + -10 + -17r = -24 + -10

Combine like terms: 10 + -10 = 0
0 + -17r = -24 + -10
-17r = -24 + -10

Combine like terms: -24 + -10 = -34
-17r = -34

Divide each side by '-17'.
r = 2

Simplifying
r = 2

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