-10(3r-6)=-10(8r-1)

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Solution for -10(3r-6)=-10(8r-1) equation: 


Simplifying
-10(3r + -6) = -10(8r + -1)

Reorder the terms:
-10(-6 + 3r) = -10(8r + -1)
(-6 * -10 + 3r * -10) = -10(8r + -1)
(60 + -30r) = -10(8r + -1)

Reorder the terms:
60 + -30r = -10(-1 + 8r)
60 + -30r = (-1 * -10 + 8r * -10)
60 + -30r = (10 + -80r)

Solving
60 + -30r = 10 + -80r

Solving for variable 'r'.

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

Add '80r' to each side of the equation.
60 + -30r + 80r = 10 + -80r + 80r

Combine like terms: -30r + 80r = 50r
60 + 50r = 10 + -80r + 80r

Combine like terms: -80r + 80r = 0
60 + 50r = 10 + 0
60 + 50r = 10

Add '-60' to each side of the equation.
60 + -60 + 50r = 10 + -60

Combine like terms: 60 + -60 = 0
0 + 50r = 10 + -60
50r = 10 + -60

Combine like terms: 10 + -60 = -50
50r = -50

Divide each side by '50'.
r = -1

Simplifying
r = -1

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