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