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Simplifying 2(3r + 5) + -3(r + -5) = 0 Reorder the terms: 2(5 + 3r) + -3(r + -5) = 0 (5 * 2 + 3r * 2) + -3(r + -5) = 0 (10 + 6r) + -3(r + -5) = 0 Reorder the terms: 10 + 6r + -3(-5 + r) = 0 10 + 6r + (-5 * -3 + r * -3) = 0 10 + 6r + (15 + -3r) = 0 Reorder the terms: 10 + 15 + 6r + -3r = 0 Combine like terms: 10 + 15 = 25 25 + 6r + -3r = 0 Combine like terms: 6r + -3r = 3r 25 + 3r = 0 Solving 25 + 3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3r = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3r = 0 + -25 3r = 0 + -25 Combine like terms: 0 + -25 = -25 3r = -25 Divide each side by '3'. r = -8.333333333 Simplifying r = -8.333333333
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