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