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Simplifying -1(1 + 5r) = 11 + -8r (1 * -1 + 5r * -1) = 11 + -8r (-1 + -5r) = 11 + -8r Solving -1 + -5r = 11 + -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. -1 + -5r + 8r = 11 + -8r + 8r Combine like terms: -5r + 8r = 3r -1 + 3r = 11 + -8r + 8r Combine like terms: -8r + 8r = 0 -1 + 3r = 11 + 0 -1 + 3r = 11 Add '1' to each side of the equation. -1 + 1 + 3r = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 3r = 11 + 1 3r = 11 + 1 Combine like terms: 11 + 1 = 12 3r = 12 Divide each side by '3'. r = 4 Simplifying r = 4
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