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Simplifying -1(r + -1) + 2(3 + 5r) = -2 Reorder the terms: -1(-1 + r) + 2(3 + 5r) = -2 (-1 * -1 + r * -1) + 2(3 + 5r) = -2 (1 + -1r) + 2(3 + 5r) = -2 1 + -1r + (3 * 2 + 5r * 2) = -2 1 + -1r + (6 + 10r) = -2 Reorder the terms: 1 + 6 + -1r + 10r = -2 Combine like terms: 1 + 6 = 7 7 + -1r + 10r = -2 Combine like terms: -1r + 10r = 9r 7 + 9r = -2 Solving 7 + 9r = -2 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 + 9r = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 9r = -2 + -7 9r = -2 + -7 Combine like terms: -2 + -7 = -9 9r = -9 Divide each side by '9'. r = -1 Simplifying r = -1
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