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

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


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

Reorder the terms:
2(-8 + 5r) + -5r = 4(r + -4) + 8
(-8 * 2 + 5r * 2) + -5r = 4(r + -4) + 8
(-16 + 10r) + -5r = 4(r + -4) + 8

Combine like terms: 10r + -5r = 5r
-16 + 5r = 4(r + -4) + 8

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

Reorder the terms:
-16 + 5r = -16 + 8 + 4r

Combine like terms: -16 + 8 = -8
-16 + 5r = -8 + 4r

Solving
-16 + 5r = -8 + 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.
-16 + 5r + -4r = -8 + 4r + -4r

Combine like terms: 5r + -4r = 1r
-16 + 1r = -8 + 4r + -4r

Combine like terms: 4r + -4r = 0
-16 + 1r = -8 + 0
-16 + 1r = -8

Add '16' to each side of the equation.
-16 + 16 + 1r = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 1r = -8 + 16
1r = -8 + 16

Combine like terms: -8 + 16 = 8
1r = 8

Divide each side by '1'.
r = 8

Simplifying
r = 8

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