-5r-5(5+5r)=-5(2+7r)

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Solution for -5r-5(5+5r)=-5(2+7r) equation:


Simplifying
-5r + -5(5 + 5r) = -5(2 + 7r)
-5r + (5 * -5 + 5r * -5) = -5(2 + 7r)
-5r + (-25 + -25r) = -5(2 + 7r)

Reorder the terms:
-25 + -5r + -25r = -5(2 + 7r)

Combine like terms: -5r + -25r = -30r
-25 + -30r = -5(2 + 7r)
-25 + -30r = (2 * -5 + 7r * -5)
-25 + -30r = (-10 + -35r)

Solving
-25 + -30r = -10 + -35r

Solving for variable 'r'.

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

Add '35r' to each side of the equation.
-25 + -30r + 35r = -10 + -35r + 35r

Combine like terms: -30r + 35r = 5r
-25 + 5r = -10 + -35r + 35r

Combine like terms: -35r + 35r = 0
-25 + 5r = -10 + 0
-25 + 5r = -10

Add '25' to each side of the equation.
-25 + 25 + 5r = -10 + 25

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

Combine like terms: -10 + 25 = 15
5r = 15

Divide each side by '5'.
r = 3

Simplifying
r = 3

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