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Simplifying 5(2r + 1) + -3(2r + -5) = 0 Reorder the terms: 5(1 + 2r) + -3(2r + -5) = 0 (1 * 5 + 2r * 5) + -3(2r + -5) = 0 (5 + 10r) + -3(2r + -5) = 0 Reorder the terms: 5 + 10r + -3(-5 + 2r) = 0 5 + 10r + (-5 * -3 + 2r * -3) = 0 5 + 10r + (15 + -6r) = 0 Reorder the terms: 5 + 15 + 10r + -6r = 0 Combine like terms: 5 + 15 = 20 20 + 10r + -6r = 0 Combine like terms: 10r + -6r = 4r 20 + 4r = 0 Solving 20 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4r = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4r = 0 + -20 4r = 0 + -20 Combine like terms: 0 + -20 = -20 4r = -20 Divide each side by '4'. r = -5 Simplifying r = -5
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