-5(r-3)-5=-2(2-r)

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Solution for -5(r-3)-5=-2(2-r) equation: 


Simplifying
-5(r + -3) + -5 = -2(2 + -1r)

Reorder the terms:
-5(-3 + r) + -5 = -2(2 + -1r)
(-3 * -5 + r * -5) + -5 = -2(2 + -1r)
(15 + -5r) + -5 = -2(2 + -1r)

Reorder the terms:
15 + -5 + -5r = -2(2 + -1r)

Combine like terms: 15 + -5 = 10
10 + -5r = -2(2 + -1r)
10 + -5r = (2 * -2 + -1r * -2)
10 + -5r = (-4 + 2r)

Solving
10 + -5r = -4 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
10 + -5r + -2r = -4 + 2r + -2r

Combine like terms: -5r + -2r = -7r
10 + -7r = -4 + 2r + -2r

Combine like terms: 2r + -2r = 0
10 + -7r = -4 + 0
10 + -7r = -4

Add '-10' to each side of the equation.
10 + -10 + -7r = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -7r = -4 + -10
-7r = -4 + -10

Combine like terms: -4 + -10 = -14
-7r = -14

Divide each side by '-7'.
r = 2

Simplifying
r = 2

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