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

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


Simplifying
4(4 + -2r) = -2(r + 5)
(4 * 4 + -2r * 4) = -2(r + 5)
(16 + -8r) = -2(r + 5)

Reorder the terms:
16 + -8r = -2(5 + r)
16 + -8r = (5 * -2 + r * -2)
16 + -8r = (-10 + -2r)

Solving
16 + -8r = -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.
16 + -8r + 2r = -10 + -2r + 2r

Combine like terms: -8r + 2r = -6r
16 + -6r = -10 + -2r + 2r

Combine like terms: -2r + 2r = 0
16 + -6r = -10 + 0
16 + -6r = -10

Add '-16' to each side of the equation.
16 + -16 + -6r = -10 + -16

Combine like terms: 16 + -16 = 0
0 + -6r = -10 + -16
-6r = -10 + -16

Combine like terms: -10 + -16 = -26
-6r = -26

Divide each side by '-6'.
r = 4.333333333

Simplifying
r = 4.333333333

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