-4r-4(-8r+4)=-4(-4-5r)

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Solution for -4r-4(-8r+4)=-4(-4-5r) equation:


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

Reorder the terms:
-4r + -4(4 + -8r) = -4(-4 + -5r)
-4r + (4 * -4 + -8r * -4) = -4(-4 + -5r)
-4r + (-16 + 32r) = -4(-4 + -5r)

Reorder the terms:
-16 + -4r + 32r = -4(-4 + -5r)

Combine like terms: -4r + 32r = 28r
-16 + 28r = -4(-4 + -5r)
-16 + 28r = (-4 * -4 + -5r * -4)
-16 + 28r = (16 + 20r)

Solving
-16 + 28r = 16 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
-16 + 28r + -20r = 16 + 20r + -20r

Combine like terms: 28r + -20r = 8r
-16 + 8r = 16 + 20r + -20r

Combine like terms: 20r + -20r = 0
-16 + 8r = 16 + 0
-16 + 8r = 16

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

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

Combine like terms: 16 + 16 = 32
8r = 32

Divide each side by '8'.
r = 4

Simplifying
r = 4

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