5(5r+10)=10(5r-5)

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


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

Reorder the terms:
5(10 + 5r) = 10(5r + -5)
(10 * 5 + 5r * 5) = 10(5r + -5)
(50 + 25r) = 10(5r + -5)

Reorder the terms:
50 + 25r = 10(-5 + 5r)
50 + 25r = (-5 * 10 + 5r * 10)
50 + 25r = (-50 + 50r)

Solving
50 + 25r = -50 + 50r

Solving for variable 'r'.

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

Add '-50r' to each side of the equation.
50 + 25r + -50r = -50 + 50r + -50r

Combine like terms: 25r + -50r = -25r
50 + -25r = -50 + 50r + -50r

Combine like terms: 50r + -50r = 0
50 + -25r = -50 + 0
50 + -25r = -50

Add '-50' to each side of the equation.
50 + -50 + -25r = -50 + -50

Combine like terms: 50 + -50 = 0
0 + -25r = -50 + -50
-25r = -50 + -50

Combine like terms: -50 + -50 = -100
-25r = -100

Divide each side by '-25'.
r = 4

Simplifying
r = 4

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