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Simplifying 4(2r + 5) + -3(r + -2) = 0 Reorder the terms: 4(5 + 2r) + -3(r + -2) = 0 (5 * 4 + 2r * 4) + -3(r + -2) = 0 (20 + 8r) + -3(r + -2) = 0 Reorder the terms: 20 + 8r + -3(-2 + r) = 0 20 + 8r + (-2 * -3 + r * -3) = 0 20 + 8r + (6 + -3r) = 0 Reorder the terms: 20 + 6 + 8r + -3r = 0 Combine like terms: 20 + 6 = 26 26 + 8r + -3r = 0 Combine like terms: 8r + -3r = 5r 26 + 5r = 0 Solving 26 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 5r = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 5r = 0 + -26 5r = 0 + -26 Combine like terms: 0 + -26 = -26 5r = -26 Divide each side by '5'. r = -5.2 Simplifying r = -5.2
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