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Simplifying 5(-1r + 5) = -5(3r + 7) Reorder the terms: 5(5 + -1r) = -5(3r + 7) (5 * 5 + -1r * 5) = -5(3r + 7) (25 + -5r) = -5(3r + 7) Reorder the terms: 25 + -5r = -5(7 + 3r) 25 + -5r = (7 * -5 + 3r * -5) 25 + -5r = (-35 + -15r) Solving 25 + -5r = -35 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 25 + -5r + 15r = -35 + -15r + 15r Combine like terms: -5r + 15r = 10r 25 + 10r = -35 + -15r + 15r Combine like terms: -15r + 15r = 0 25 + 10r = -35 + 0 25 + 10r = -35 Add '-25' to each side of the equation. 25 + -25 + 10r = -35 + -25 Combine like terms: 25 + -25 = 0 0 + 10r = -35 + -25 10r = -35 + -25 Combine like terms: -35 + -25 = -60 10r = -60 Divide each side by '10'. r = -6 Simplifying r = -6
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