4(1-4r)=-5(r+8)

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Solution for 4(1-4r)=-5(r+8) equation: 


Simplifying
4(1 + -4r) = -5(r + 8)
(1 * 4 + -4r * 4) = -5(r + 8)
(4 + -16r) = -5(r + 8)

Reorder the terms:
4 + -16r = -5(8 + r)
4 + -16r = (8 * -5 + r * -5)
4 + -16r = (-40 + -5r)

Solving
4 + -16r = -40 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
4 + -16r + 5r = -40 + -5r + 5r

Combine like terms: -16r + 5r = -11r
4 + -11r = -40 + -5r + 5r

Combine like terms: -5r + 5r = 0
4 + -11r = -40 + 0
4 + -11r = -40

Add '-4' to each side of the equation.
4 + -4 + -11r = -40 + -4

Combine like terms: 4 + -4 = 0
0 + -11r = -40 + -4
-11r = -40 + -4

Combine like terms: -40 + -4 = -44
-11r = -44

Divide each side by '-11'.
r = 4

Simplifying
r = 4

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