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Simplifying r + 8 + -5r = 2(5 + -4r) Reorder the terms: 8 + r + -5r = 2(5 + -4r) Combine like terms: r + -5r = -4r 8 + -4r = 2(5 + -4r) 8 + -4r = (5 * 2 + -4r * 2) 8 + -4r = (10 + -8r) Solving 8 + -4r = 10 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 8 + -4r + 8r = 10 + -8r + 8r Combine like terms: -4r + 8r = 4r 8 + 4r = 10 + -8r + 8r Combine like terms: -8r + 8r = 0 8 + 4r = 10 + 0 8 + 4r = 10 Add '-8' to each side of the equation. 8 + -8 + 4r = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 4r = 10 + -8 4r = 10 + -8 Combine like terms: 10 + -8 = 2 4r = 2 Divide each side by '4'. r = 0.5 Simplifying r = 0.5
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