-7(5r-8)-5r=256

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Solution for -7(5r-8)-5r=256 equation:


Simplifying
-7(5r + -8) + -5r = 256

Reorder the terms:
-7(-8 + 5r) + -5r = 256
(-8 * -7 + 5r * -7) + -5r = 256
(56 + -35r) + -5r = 256

Combine like terms: -35r + -5r = -40r
56 + -40r = 256

Solving
56 + -40r = 256

Solving for variable 'r'.

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

Add '-56' to each side of the equation.
56 + -56 + -40r = 256 + -56

Combine like terms: 56 + -56 = 0
0 + -40r = 256 + -56
-40r = 256 + -56

Combine like terms: 256 + -56 = 200
-40r = 200

Divide each side by '-40'.
r = -5

Simplifying
r = -5

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