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Simplifying 7(r + -5) = 5(r + 3) Reorder the terms: 7(-5 + r) = 5(r + 3) (-5 * 7 + r * 7) = 5(r + 3) (-35 + 7r) = 5(r + 3) Reorder the terms: -35 + 7r = 5(3 + r) -35 + 7r = (3 * 5 + r * 5) -35 + 7r = (15 + 5r) Solving -35 + 7r = 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. -35 + 7r + -5r = 15 + 5r + -5r Combine like terms: 7r + -5r = 2r -35 + 2r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 -35 + 2r = 15 + 0 -35 + 2r = 15 Add '35' to each side of the equation. -35 + 35 + 2r = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 2r = 15 + 35 2r = 15 + 35 Combine like terms: 15 + 35 = 50 2r = 50 Divide each side by '2'. r = 25 Simplifying r = 25
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