(4r+4)*5=8*(4r-10)

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Solution for (4r+4)*5=8*(4r-10) equation: 


Simplifying
(4r + 4) * 5 = 8(4r + -10)

Reorder the terms:
(4 + 4r) * 5 = 8(4r + -10)

Reorder the terms for easier multiplication:
5(4 + 4r) = 8(4r + -10)
(4 * 5 + 4r * 5) = 8(4r + -10)
(20 + 20r) = 8(4r + -10)

Reorder the terms:
20 + 20r = 8(-10 + 4r)
20 + 20r = (-10 * 8 + 4r * 8)
20 + 20r = (-80 + 32r)

Solving
20 + 20r = -80 + 32r

Solving for variable 'r'.

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

Add '-32r' to each side of the equation.
20 + 20r + -32r = -80 + 32r + -32r

Combine like terms: 20r + -32r = -12r
20 + -12r = -80 + 32r + -32r

Combine like terms: 32r + -32r = 0
20 + -12r = -80 + 0
20 + -12r = -80

Add '-20' to each side of the equation.
20 + -20 + -12r = -80 + -20

Combine like terms: 20 + -20 = 0
0 + -12r = -80 + -20
-12r = -80 + -20

Combine like terms: -80 + -20 = -100
-12r = -100

Divide each side by '-12'.
r = 8.333333333

Simplifying
r = 8.333333333

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