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Simplifying 2(4 + -2r) + -5 = -2(r + 5) + 8r (4 * 2 + -2r * 2) + -5 = -2(r + 5) + 8r (8 + -4r) + -5 = -2(r + 5) + 8r Reorder the terms: 8 + -5 + -4r = -2(r + 5) + 8r Combine like terms: 8 + -5 = 3 3 + -4r = -2(r + 5) + 8r Reorder the terms: 3 + -4r = -2(5 + r) + 8r 3 + -4r = (5 * -2 + r * -2) + 8r 3 + -4r = (-10 + -2r) + 8r Combine like terms: -2r + 8r = 6r 3 + -4r = -10 + 6r Solving 3 + -4r = -10 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 3 + -4r + -6r = -10 + 6r + -6r Combine like terms: -4r + -6r = -10r 3 + -10r = -10 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + -10r = -10 + 0 3 + -10r = -10 Add '-3' to each side of the equation. 3 + -3 + -10r = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -10r = -10 + -3 -10r = -10 + -3 Combine like terms: -10 + -3 = -13 -10r = -13 Divide each side by '-10'. r = 1.3 Simplifying r = 1.3
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