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Simplifying 3(-5r + 5) + 6r = 0 Reorder the terms: 3(5 + -5r) + 6r = 0 (5 * 3 + -5r * 3) + 6r = 0 (15 + -15r) + 6r = 0 Combine like terms: -15r + 6r = -9r 15 + -9r = 0 Solving 15 + -9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -9r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -9r = 0 + -15 -9r = 0 + -15 Combine like terms: 0 + -15 = -15 -9r = -15 Divide each side by '-9'. r = 1.666666667 Simplifying r = 1.666666667
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