R-2r=4(r-4)-5(r-8)

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Solution for R-2r=4(r-4)-5(r-8) equation: 


Simplifying
R + -2r = 4(r + -4) + -5(r + -8)

Reorder the terms:
R + -2r = 4(-4 + r) + -5(r + -8)
R + -2r = (-4 * 4 + r * 4) + -5(r + -8)
R + -2r = (-16 + 4r) + -5(r + -8)

Reorder the terms:
R + -2r = -16 + 4r + -5(-8 + r)
R + -2r = -16 + 4r + (-8 * -5 + r * -5)
R + -2r = -16 + 4r + (40 + -5r)

Reorder the terms:
R + -2r = -16 + 40 + 4r + -5r

Combine like terms: -16 + 40 = 24
R + -2r = 24 + 4r + -5r

Combine like terms: 4r + -5r = -1r
R + -2r = 24 + -1r

Solving
R + -2r = 24 + -1r

Solving for variable 'R'.

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

Add '2r' to each side of the equation.
R + -2r + 2r = 24 + -1r + 2r

Combine like terms: -2r + 2r = 0
R + 0 = 24 + -1r + 2r
R = 24 + -1r + 2r

Combine like terms: -1r + 2r = 1r
R = 24 + 1r

Simplifying
R = 24 + 1r

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