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Simplifying 2(4r + 4) + -3(r + -5) = 0 Reorder the terms: 2(4 + 4r) + -3(r + -5) = 0 (4 * 2 + 4r * 2) + -3(r + -5) = 0 (8 + 8r) + -3(r + -5) = 0 Reorder the terms: 8 + 8r + -3(-5 + r) = 0 8 + 8r + (-5 * -3 + r * -3) = 0 8 + 8r + (15 + -3r) = 0 Reorder the terms: 8 + 15 + 8r + -3r = 0 Combine like terms: 8 + 15 = 23 23 + 8r + -3r = 0 Combine like terms: 8r + -3r = 5r 23 + 5r = 0 Solving 23 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5r = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5r = 0 + -23 5r = 0 + -23 Combine like terms: 0 + -23 = -23 5r = -23 Divide each side by '5'. r = -4.6 Simplifying r = -4.6
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