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Simplifying (7r + 8) + -1(r + 1) = 0 Reorder the terms: (8 + 7r) + -1(r + 1) = 0 Remove parenthesis around (8 + 7r) 8 + 7r + -1(r + 1) = 0 Reorder the terms: 8 + 7r + -1(1 + r) = 0 8 + 7r + (1 * -1 + r * -1) = 0 8 + 7r + (-1 + -1r) = 0 Reorder the terms: 8 + -1 + 7r + -1r = 0 Combine like terms: 8 + -1 = 7 7 + 7r + -1r = 0 Combine like terms: 7r + -1r = 6r 7 + 6r = 0 Solving 7 + 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6r = 0 + -7 6r = 0 + -7 Combine like terms: 0 + -7 = -7 6r = -7 Divide each side by '6'. r = -1.166666667 Simplifying r = -1.166666667
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