(5r+5)*2=10*(2r-8)

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


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

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

Reorder the terms for easier multiplication:
2(5 + 5r) = 10(2r + -8)
(5 * 2 + 5r * 2) = 10(2r + -8)
(10 + 10r) = 10(2r + -8)

Reorder the terms:
10 + 10r = 10(-8 + 2r)
10 + 10r = (-8 * 10 + 2r * 10)
10 + 10r = (-80 + 20r)

Solving
10 + 10r = -80 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
10 + 10r + -20r = -80 + 20r + -20r

Combine like terms: 10r + -20r = -10r
10 + -10r = -80 + 20r + -20r

Combine like terms: 20r + -20r = 0
10 + -10r = -80 + 0
10 + -10r = -80

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

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

Combine like terms: -80 + -10 = -90
-10r = -90

Divide each side by '-10'.
r = 9

Simplifying
r = 9

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