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Simplifying -3(2r + -3) + 2(5r + 3) = 0 Reorder the terms: -3(-3 + 2r) + 2(5r + 3) = 0 (-3 * -3 + 2r * -3) + 2(5r + 3) = 0 (9 + -6r) + 2(5r + 3) = 0 Reorder the terms: 9 + -6r + 2(3 + 5r) = 0 9 + -6r + (3 * 2 + 5r * 2) = 0 9 + -6r + (6 + 10r) = 0 Reorder the terms: 9 + 6 + -6r + 10r = 0 Combine like terms: 9 + 6 = 15 15 + -6r + 10r = 0 Combine like terms: -6r + 10r = 4r 15 + 4r = 0 Solving 15 + 4r = 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 + 4r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4r = 0 + -15 4r = 0 + -15 Combine like terms: 0 + -15 = -15 4r = -15 Divide each side by '4'. r = -3.75 Simplifying r = -3.75
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