2(4-2r)=-2(r-5)

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Solution for 2(4-2r)=-2(r-5) equation: 


Simplifying
2(4 + -2r) = -2(r + -5)
(4 * 2 + -2r * 2) = -2(r + -5)
(8 + -4r) = -2(r + -5)

Reorder the terms:
8 + -4r = -2(-5 + r)
8 + -4r = (-5 * -2 + r * -2)
8 + -4r = (10 + -2r)

Solving
8 + -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.
8 + -4r + 2r = 10 + -2r + 2r

Combine like terms: -4r + 2r = -2r
8 + -2r = 10 + -2r + 2r

Combine like terms: -2r + 2r = 0
8 + -2r = 10 + 0
8 + -2r = 10

Add '-8' to each side of the equation.
8 + -8 + -2r = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -2r = 10 + -8
-2r = 10 + -8

Combine like terms: 10 + -8 = 2
-2r = 2

Divide each side by '-2'.
r = -1

Simplifying
r = -1

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