5(3r-6)=10r-10

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Solution for 5(3r-6)=10r-10 equation: 


Simplifying
5(3r + -6) = 10r + -10

Reorder the terms:
5(-6 + 3r) = 10r + -10
(-6 * 5 + 3r * 5) = 10r + -10
(-30 + 15r) = 10r + -10

Reorder the terms:
-30 + 15r = -10 + 10r

Solving
-30 + 15r = -10 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
-30 + 15r + -10r = -10 + 10r + -10r

Combine like terms: 15r + -10r = 5r
-30 + 5r = -10 + 10r + -10r

Combine like terms: 10r + -10r = 0
-30 + 5r = -10 + 0
-30 + 5r = -10

Add '30' to each side of the equation.
-30 + 30 + 5r = -10 + 30

Combine like terms: -30 + 30 = 0
0 + 5r = -10 + 30
5r = -10 + 30

Combine like terms: -10 + 30 = 20
5r = 20

Divide each side by '5'.
r = 4

Simplifying
r = 4

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