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Simplifying -108 = -8(r + 7) + -5r Reorder the terms: -108 = -8(7 + r) + -5r -108 = (7 * -8 + r * -8) + -5r -108 = (-56 + -8r) + -5r Combine like terms: -8r + -5r = -13r -108 = -56 + -13r Solving -108 = -56 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. -108 + 13r = -56 + -13r + 13r Combine like terms: -13r + 13r = 0 -108 + 13r = -56 + 0 -108 + 13r = -56 Add '108' to each side of the equation. -108 + 108 + 13r = -56 + 108 Combine like terms: -108 + 108 = 0 0 + 13r = -56 + 108 13r = -56 + 108 Combine like terms: -56 + 108 = 52 13r = 52 Divide each side by '13'. r = 4 Simplifying r = 4
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