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Simplifying 2(4 + -2r) + -5 = -2(r + 5) + 8 (4 * 2 + -2r * 2) + -5 = -2(r + 5) + 8 (8 + -4r) + -5 = -2(r + 5) + 8 Reorder the terms: 8 + -5 + -4r = -2(r + 5) + 8 Combine like terms: 8 + -5 = 3 3 + -4r = -2(r + 5) + 8 Reorder the terms: 3 + -4r = -2(5 + r) + 8 3 + -4r = (5 * -2 + r * -2) + 8 3 + -4r = (-10 + -2r) + 8 Reorder the terms: 3 + -4r = -10 + 8 + -2r Combine like terms: -10 + 8 = -2 3 + -4r = -2 + -2r Solving 3 + -4r = -2 + -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. 3 + -4r + 2r = -2 + -2r + 2r Combine like terms: -4r + 2r = -2r 3 + -2r = -2 + -2r + 2r Combine like terms: -2r + 2r = 0 3 + -2r = -2 + 0 3 + -2r = -2 Add '-3' to each side of the equation. 3 + -3 + -2r = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = -2 + -3 -2r = -2 + -3 Combine like terms: -2 + -3 = -5 -2r = -5 Divide each side by '-2'. r = 2.5 Simplifying r = 2.5
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