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

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


Simplifying
2(5 + -2r) = -2(r + 5)
(5 * 2 + -2r * 2) = -2(r + 5)
(10 + -4r) = -2(r + 5)

Reorder the terms:
10 + -4r = -2(5 + r)
10 + -4r = (5 * -2 + r * -2)
10 + -4r = (-10 + -2r)

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

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

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

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

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

Combine like terms: -10 + -10 = -20
-2r = -20

Divide each side by '-2'.
r = 10

Simplifying
r = 10

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