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Simplifying 5(4 + 3) = 0.5(40 + 10r) Combine like terms: 4 + 3 = 7 5(7) = 0.5(40 + 10r) Multiply 5 * 7 35 = 0.5(40 + 10r) 35 = (40 * 0.5 + 10r * 0.5) 35 = (20 + 5r) Solving 35 = 20 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 35 + -5r = 20 + 5r + -5r Combine like terms: 5r + -5r = 0 35 + -5r = 20 + 0 35 + -5r = 20 Add '-35' to each side of the equation. 35 + -35 + -5r = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -5r = 20 + -35 -5r = 20 + -35 Combine like terms: 20 + -35 = -15 -5r = -15 Divide each side by '-5'. r = 3 Simplifying r = 3
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