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Simplifying -1(3r + 5) = 4r + -1 Reorder the terms: -1(5 + 3r) = 4r + -1 (5 * -1 + 3r * -1) = 4r + -1 (-5 + -3r) = 4r + -1 Reorder the terms: -5 + -3r = -1 + 4r Solving -5 + -3r = -1 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -5 + -3r + -4r = -1 + 4r + -4r Combine like terms: -3r + -4r = -7r -5 + -7r = -1 + 4r + -4r Combine like terms: 4r + -4r = 0 -5 + -7r = -1 + 0 -5 + -7r = -1 Add '5' to each side of the equation. -5 + 5 + -7r = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -7r = -1 + 5 -7r = -1 + 5 Combine like terms: -1 + 5 = 4 -7r = 4 Divide each side by '-7'. r = -0.5714285714 Simplifying r = -0.5714285714
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