5(r-5)=-5(r-5)

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


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

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

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

Solving
-25 + 5r = 25 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
-25 + 5r + 5r = 25 + -5r + 5r

Combine like terms: 5r + 5r = 10r
-25 + 10r = 25 + -5r + 5r

Combine like terms: -5r + 5r = 0
-25 + 10r = 25 + 0
-25 + 10r = 25

Add '25' to each side of the equation.
-25 + 25 + 10r = 25 + 25

Combine like terms: -25 + 25 = 0
0 + 10r = 25 + 25
10r = 25 + 25

Combine like terms: 25 + 25 = 50
10r = 50

Divide each side by '10'.
r = 5

Simplifying
r = 5

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