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Simplifying -5(r + -5) = 34 + -8r Reorder the terms: -5(-5 + r) = 34 + -8r (-5 * -5 + r * -5) = 34 + -8r (25 + -5r) = 34 + -8r Solving 25 + -5r = 34 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 25 + -5r + 8r = 34 + -8r + 8r Combine like terms: -5r + 8r = 3r 25 + 3r = 34 + -8r + 8r Combine like terms: -8r + 8r = 0 25 + 3r = 34 + 0 25 + 3r = 34 Add '-25' to each side of the equation. 25 + -25 + 3r = 34 + -25 Combine like terms: 25 + -25 = 0 0 + 3r = 34 + -25 3r = 34 + -25 Combine like terms: 34 + -25 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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