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Simplifying -3(r + -5) + 5(-5 + 4r) = 0 Reorder the terms: -3(-5 + r) + 5(-5 + 4r) = 0 (-5 * -3 + r * -3) + 5(-5 + 4r) = 0 (15 + -3r) + 5(-5 + 4r) = 0 15 + -3r + (-5 * 5 + 4r * 5) = 0 15 + -3r + (-25 + 20r) = 0 Reorder the terms: 15 + -25 + -3r + 20r = 0 Combine like terms: 15 + -25 = -10 -10 + -3r + 20r = 0 Combine like terms: -3r + 20r = 17r -10 + 17r = 0 Solving -10 + 17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 17r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 17r = 0 + 10 17r = 0 + 10 Combine like terms: 0 + 10 = 10 17r = 10 Divide each side by '17'. r = 0.5882352941 Simplifying r = 0.5882352941
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