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Simplifying -5(-1r + 2) = -34 + 8r Reorder the terms: -5(2 + -1r) = -34 + 8r (2 * -5 + -1r * -5) = -34 + 8r (-10 + 5r) = -34 + 8r Solving -10 + 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. -10 + 5r + -8r = -34 + 8r + -8r Combine like terms: 5r + -8r = -3r -10 + -3r = -34 + 8r + -8r Combine like terms: 8r + -8r = 0 -10 + -3r = -34 + 0 -10 + -3r = -34 Add '10' to each side of the equation. -10 + 10 + -3r = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -3r = -34 + 10 -3r = -34 + 10 Combine like terms: -34 + 10 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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