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Simplifying 2(4 + -2r) + -5 = 2(r + 5) + r (4 * 2 + -2r * 2) + -5 = 2(r + 5) + r (8 + -4r) + -5 = 2(r + 5) + r Reorder the terms: 8 + -5 + -4r = 2(r + 5) + r Combine like terms: 8 + -5 = 3 3 + -4r = 2(r + 5) + r Reorder the terms: 3 + -4r = 2(5 + r) + r 3 + -4r = (5 * 2 + r * 2) + r 3 + -4r = (10 + 2r) + r Combine like terms: 2r + r = 3r 3 + -4r = 10 + 3r Solving 3 + -4r = 10 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 3 + -4r + -3r = 10 + 3r + -3r Combine like terms: -4r + -3r = -7r 3 + -7r = 10 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + -7r = 10 + 0 3 + -7r = 10 Add '-3' to each side of the equation. 3 + -3 + -7r = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -7r = 10 + -3 -7r = 10 + -3 Combine like terms: 10 + -3 = 7 -7r = 7 Divide each side by '-7'. r = -1 Simplifying r = -1
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