8(-2r+8)=-8r-2(4-8r)

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Solution for 8(-2r+8)=-8r-2(4-8r) equation:


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

Reorder the terms:
8(8 + -2r) = -8r + -2(4 + -8r)
(8 * 8 + -2r * 8) = -8r + -2(4 + -8r)
(64 + -16r) = -8r + -2(4 + -8r)
64 + -16r = -8r + (4 * -2 + -8r * -2)
64 + -16r = -8r + (-8 + 16r)

Reorder the terms:
64 + -16r = -8 + -8r + 16r

Combine like terms: -8r + 16r = 8r
64 + -16r = -8 + 8r

Solving
64 + -16r = -8 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
64 + -16r + -8r = -8 + 8r + -8r

Combine like terms: -16r + -8r = -24r
64 + -24r = -8 + 8r + -8r

Combine like terms: 8r + -8r = 0
64 + -24r = -8 + 0
64 + -24r = -8

Add '-64' to each side of the equation.
64 + -64 + -24r = -8 + -64

Combine like terms: 64 + -64 = 0
0 + -24r = -8 + -64
-24r = -8 + -64

Combine like terms: -8 + -64 = -72
-24r = -72

Divide each side by '-24'.
r = 3

Simplifying
r = 3

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