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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 = 10r 3 + -4r = 10 + 10r Solving 3 + -4r = 10 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 3 + -4r + -10r = 10 + 10r + -10r Combine like terms: -4r + -10r = -14r 3 + -14r = 10 + 10r + -10r Combine like terms: 10r + -10r = 0 3 + -14r = 10 + 0 3 + -14r = 10 Add '-3' to each side of the equation. 3 + -3 + -14r = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -14r = 10 + -3 -14r = 10 + -3 Combine like terms: 10 + -3 = 7 -14r = 7 Divide each side by '-14'. r = -0.5 Simplifying r = -0.5
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