-4(2-3r)=-8-4(6-4r)

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Solution for -4(2-3r)=-8-4(6-4r) equation:


Simplifying
-4(2 + -3r) = -8 + -4(6 + -4r)
(2 * -4 + -3r * -4) = -8 + -4(6 + -4r)
(-8 + 12r) = -8 + -4(6 + -4r)
-8 + 12r = -8 + (6 * -4 + -4r * -4)
-8 + 12r = -8 + (-24 + 16r)

Combine like terms: -8 + -24 = -32
-8 + 12r = -32 + 16r

Solving
-8 + 12r = -32 + 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
-8 + 12r + -16r = -32 + 16r + -16r

Combine like terms: 12r + -16r = -4r
-8 + -4r = -32 + 16r + -16r

Combine like terms: 16r + -16r = 0
-8 + -4r = -32 + 0
-8 + -4r = -32

Add '8' to each side of the equation.
-8 + 8 + -4r = -32 + 8

Combine like terms: -8 + 8 = 0
0 + -4r = -32 + 8
-4r = -32 + 8

Combine like terms: -32 + 8 = -24
-4r = -24

Divide each side by '-4'.
r = 6

Simplifying
r = 6

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