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Simplifying 3(3r + 5) + -2(r + 4) = 0 Reorder the terms: 3(5 + 3r) + -2(r + 4) = 0 (5 * 3 + 3r * 3) + -2(r + 4) = 0 (15 + 9r) + -2(r + 4) = 0 Reorder the terms: 15 + 9r + -2(4 + r) = 0 15 + 9r + (4 * -2 + r * -2) = 0 15 + 9r + (-8 + -2r) = 0 Reorder the terms: 15 + -8 + 9r + -2r = 0 Combine like terms: 15 + -8 = 7 7 + 9r + -2r = 0 Combine like terms: 9r + -2r = 7r 7 + 7r = 0 Solving 7 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7r = 0 + -7 7r = 0 + -7 Combine like terms: 0 + -7 = -7 7r = -7 Divide each side by '7'. r = -1 Simplifying r = -1
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