8=13(r-8)-5(7r+4)

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Solution for 8=13(r-8)-5(7r+4) equation:


Simplifying
8 = 13(r + -8) + -5(7r + 4)

Reorder the terms:
8 = 13(-8 + r) + -5(7r + 4)
8 = (-8 * 13 + r * 13) + -5(7r + 4)
8 = (-104 + 13r) + -5(7r + 4)

Reorder the terms:
8 = -104 + 13r + -5(4 + 7r)
8 = -104 + 13r + (4 * -5 + 7r * -5)
8 = -104 + 13r + (-20 + -35r)

Reorder the terms:
8 = -104 + -20 + 13r + -35r

Combine like terms: -104 + -20 = -124
8 = -124 + 13r + -35r

Combine like terms: 13r + -35r = -22r
8 = -124 + -22r

Solving
8 = -124 + -22r

Solving for variable 'r'.

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

Add '22r' to each side of the equation.
8 + 22r = -124 + -22r + 22r

Combine like terms: -22r + 22r = 0
8 + 22r = -124 + 0
8 + 22r = -124

Add '-8' to each side of the equation.
8 + -8 + 22r = -124 + -8

Combine like terms: 8 + -8 = 0
0 + 22r = -124 + -8
22r = -124 + -8

Combine like terms: -124 + -8 = -132
22r = -132

Divide each side by '22'.
r = -6

Simplifying
r = -6

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