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

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


Simplifying
8r + 4(2r + -6) = 4r + -4

Reorder the terms:
8r + 4(-6 + 2r) = 4r + -4
8r + (-6 * 4 + 2r * 4) = 4r + -4
8r + (-24 + 8r) = 4r + -4

Reorder the terms:
-24 + 8r + 8r = 4r + -4

Combine like terms: 8r + 8r = 16r
-24 + 16r = 4r + -4

Reorder the terms:
-24 + 16r = -4 + 4r

Solving
-24 + 16r = -4 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-24 + 16r + -4r = -4 + 4r + -4r

Combine like terms: 16r + -4r = 12r
-24 + 12r = -4 + 4r + -4r

Combine like terms: 4r + -4r = 0
-24 + 12r = -4 + 0
-24 + 12r = -4

Add '24' to each side of the equation.
-24 + 24 + 12r = -4 + 24

Combine like terms: -24 + 24 = 0
0 + 12r = -4 + 24
12r = -4 + 24

Combine like terms: -4 + 24 = 20
12r = 20

Divide each side by '12'.
r = 1.666666667

Simplifying
r = 1.666666667

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