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Simplifying 40 * 2r = 30(2r + 6) + -2r Multiply 40 * 2 80r = 30(2r + 6) + -2r Reorder the terms: 80r = 30(6 + 2r) + -2r 80r = (6 * 30 + 2r * 30) + -2r 80r = (180 + 60r) + -2r Combine like terms: 60r + -2r = 58r 80r = 180 + 58r Solving 80r = 180 + 58r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-58r' to each side of the equation. 80r + -58r = 180 + 58r + -58r Combine like terms: 80r + -58r = 22r 22r = 180 + 58r + -58r Combine like terms: 58r + -58r = 0 22r = 180 + 0 22r = 180 Divide each side by '22'. r = 8.181818182 Simplifying r = 8.181818182
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