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Simplifying 8(r + 7) + 5r = -5(6 + 6r) Reorder the terms: 8(7 + r) + 5r = -5(6 + 6r) (7 * 8 + r * 8) + 5r = -5(6 + 6r) (56 + 8r) + 5r = -5(6 + 6r) Combine like terms: 8r + 5r = 13r 56 + 13r = -5(6 + 6r) 56 + 13r = (6 * -5 + 6r * -5) 56 + 13r = (-30 + -30r) Solving 56 + 13r = -30 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 56 + 13r + 30r = -30 + -30r + 30r Combine like terms: 13r + 30r = 43r 56 + 43r = -30 + -30r + 30r Combine like terms: -30r + 30r = 0 56 + 43r = -30 + 0 56 + 43r = -30 Add '-56' to each side of the equation. 56 + -56 + 43r = -30 + -56 Combine like terms: 56 + -56 = 0 0 + 43r = -30 + -56 43r = -30 + -56 Combine like terms: -30 + -56 = -86 43r = -86 Divide each side by '43'. r = -2 Simplifying r = -2
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