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Simplifying 25(r + 2) + -3(r + -2) = 75 Reorder the terms: 25(2 + r) + -3(r + -2) = 75 (2 * 25 + r * 25) + -3(r + -2) = 75 (50 + 25r) + -3(r + -2) = 75 Reorder the terms: 50 + 25r + -3(-2 + r) = 75 50 + 25r + (-2 * -3 + r * -3) = 75 50 + 25r + (6 + -3r) = 75 Reorder the terms: 50 + 6 + 25r + -3r = 75 Combine like terms: 50 + 6 = 56 56 + 25r + -3r = 75 Combine like terms: 25r + -3r = 22r 56 + 22r = 75 Solving 56 + 22r = 75 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 22r = 75 + -56 Combine like terms: 56 + -56 = 0 0 + 22r = 75 + -56 22r = 75 + -56 Combine like terms: 75 + -56 = 19 22r = 19 Divide each side by '22'. r = 0.8636363636 Simplifying r = 0.8636363636
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