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Simplifying 5(r + 5) = -5(r + 3) Reorder the terms: 5(5 + r) = -5(r + 3) (5 * 5 + r * 5) = -5(r + 3) (25 + 5r) = -5(r + 3) Reorder the terms: 25 + 5r = -5(3 + r) 25 + 5r = (3 * -5 + r * -5) 25 + 5r = (-15 + -5r) Solving 25 + 5r = -15 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 25 + 5r + 5r = -15 + -5r + 5r Combine like terms: 5r + 5r = 10r 25 + 10r = -15 + -5r + 5r Combine like terms: -5r + 5r = 0 25 + 10r = -15 + 0 25 + 10r = -15 Add '-25' to each side of the equation. 25 + -25 + 10r = -15 + -25 Combine like terms: 25 + -25 = 0 0 + 10r = -15 + -25 10r = -15 + -25 Combine like terms: -15 + -25 = -40 10r = -40 Divide each side by '10'. r = -4 Simplifying r = -4
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