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Simplifying 15 + -2r = -1 + -5(r + -2) Reorder the terms: 15 + -2r = -1 + -5(-2 + r) 15 + -2r = -1 + (-2 * -5 + r * -5) 15 + -2r = -1 + (10 + -5r) Combine like terms: -1 + 10 = 9 15 + -2r = 9 + -5r Solving 15 + -2r = 9 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 15 + -2r + 5r = 9 + -5r + 5r Combine like terms: -2r + 5r = 3r 15 + 3r = 9 + -5r + 5r Combine like terms: -5r + 5r = 0 15 + 3r = 9 + 0 15 + 3r = 9 Add '-15' to each side of the equation. 15 + -15 + 3r = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 3r = 9 + -15 3r = 9 + -15 Combine like terms: 9 + -15 = -6 3r = -6 Divide each side by '3'. r = -2 Simplifying r = -2
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