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Simplifying 9(1r + 1) + -5 + -1(2r + -3) = 0 Reorder the terms: 9(1 + 1r) + -5 + -1(2r + -3) = 0 (1 * 9 + 1r * 9) + -5 + -1(2r + -3) = 0 (9 + 9r) + -5 + -1(2r + -3) = 0 Reorder the terms: 9 + 9r + -5 + -1(-3 + 2r) = 0 9 + 9r + -5 + (-3 * -1 + 2r * -1) = 0 9 + 9r + -5 + (3 + -2r) = 0 Reorder the terms: 9 + -5 + 3 + 9r + -2r = 0 Combine like terms: 9 + -5 = 4 4 + 3 + 9r + -2r = 0 Combine like terms: 4 + 3 = 7 7 + 9r + -2r = 0 Combine like terms: 9r + -2r = 7r 7 + 7r = 0 Solving 7 + 7r = 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 + 7r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7r = 0 + -7 7r = 0 + -7 Combine like terms: 0 + -7 = -7 7r = -7 Divide each side by '7'. r = -1 Simplifying r = -1
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