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Simplifying 2(4r + 3) + -3(r + 5) = 0 Reorder the terms: 2(3 + 4r) + -3(r + 5) = 0 (3 * 2 + 4r * 2) + -3(r + 5) = 0 (6 + 8r) + -3(r + 5) = 0 Reorder the terms: 6 + 8r + -3(5 + r) = 0 6 + 8r + (5 * -3 + r * -3) = 0 6 + 8r + (-15 + -3r) = 0 Reorder the terms: 6 + -15 + 8r + -3r = 0 Combine like terms: 6 + -15 = -9 -9 + 8r + -3r = 0 Combine like terms: 8r + -3r = 5r -9 + 5r = 0 Solving -9 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5r = 0 + 9 5r = 0 + 9 Combine like terms: 0 + 9 = 9 5r = 9 Divide each side by '5'. r = 1.8 Simplifying r = 1.8
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