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Simplifying -5(5r + 7) = 25 + 5r Reorder the terms: -5(7 + 5r) = 25 + 5r (7 * -5 + 5r * -5) = 25 + 5r (-35 + -25r) = 25 + 5r Solving -35 + -25r = 25 + 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 + -25r + -5r = 25 + 5r + -5r Combine like terms: -25r + -5r = -30r -35 + -30r = 25 + 5r + -5r Combine like terms: 5r + -5r = 0 -35 + -30r = 25 + 0 -35 + -30r = 25 Add '35' to each side of the equation. -35 + 35 + -30r = 25 + 35 Combine like terms: -35 + 35 = 0 0 + -30r = 25 + 35 -30r = 25 + 35 Combine like terms: 25 + 35 = 60 -30r = 60 Divide each side by '-30'. r = -2 Simplifying r = -2
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