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Simplifying 3(4r + 5) + 5(r + -2) = 0 Reorder the terms: 3(5 + 4r) + 5(r + -2) = 0 (5 * 3 + 4r * 3) + 5(r + -2) = 0 (15 + 12r) + 5(r + -2) = 0 Reorder the terms: 15 + 12r + 5(-2 + r) = 0 15 + 12r + (-2 * 5 + r * 5) = 0 15 + 12r + (-10 + 5r) = 0 Reorder the terms: 15 + -10 + 12r + 5r = 0 Combine like terms: 15 + -10 = 5 5 + 12r + 5r = 0 Combine like terms: 12r + 5r = 17r 5 + 17r = 0 Solving 5 + 17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 17r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 17r = 0 + -5 17r = 0 + -5 Combine like terms: 0 + -5 = -5 17r = -5 Divide each side by '17'. r = -0.2941176471 Simplifying r = -0.2941176471
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