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

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


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

Reorder the terms:
4(8 + -1r) = -5r + 4(r + -4)
(8 * 4 + -1r * 4) = -5r + 4(r + -4)
(32 + -4r) = -5r + 4(r + -4)

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

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

Combine like terms: -5r + 4r = -1r
32 + -4r = -16 + -1r

Solving
32 + -4r = -16 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
32 + -4r + r = -16 + -1r + r

Combine like terms: -4r + r = -3r
32 + -3r = -16 + -1r + r

Combine like terms: -1r + r = 0
32 + -3r = -16 + 0
32 + -3r = -16

Add '-32' to each side of the equation.
32 + -32 + -3r = -16 + -32

Combine like terms: 32 + -32 = 0
0 + -3r = -16 + -32
-3r = -16 + -32

Combine like terms: -16 + -32 = -48
-3r = -48

Divide each side by '-3'.
r = 16

Simplifying
r = 16

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