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Simplifying 40 * 2r = 30(2r + 6) + -20r Multiply 40 * 2 80r = 30(2r + 6) + -20r Reorder the terms: 80r = 30(6 + 2r) + -20r 80r = (6 * 30 + 2r * 30) + -20r 80r = (180 + 60r) + -20r Combine like terms: 60r + -20r = 40r 80r = 180 + 40r Solving 80r = 180 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 80r + -40r = 180 + 40r + -40r Combine like terms: 80r + -40r = 40r 40r = 180 + 40r + -40r Combine like terms: 40r + -40r = 0 40r = 180 + 0 40r = 180 Divide each side by '40'. r = 4.5 Simplifying r = 4.5
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