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Simplifying -1(1 + -11r) = 5(-2 + 2r) + 8 (1 * -1 + -11r * -1) = 5(-2 + 2r) + 8 (-1 + 11r) = 5(-2 + 2r) + 8 -1 + 11r = (-2 * 5 + 2r * 5) + 8 -1 + 11r = (-10 + 10r) + 8 Reorder the terms: -1 + 11r = -10 + 8 + 10r Combine like terms: -10 + 8 = -2 -1 + 11r = -2 + 10r Solving -1 + 11r = -2 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -1 + 11r + -10r = -2 + 10r + -10r Combine like terms: 11r + -10r = 1r -1 + 1r = -2 + 10r + -10r Combine like terms: 10r + -10r = 0 -1 + 1r = -2 + 0 -1 + 1r = -2 Add '1' to each side of the equation. -1 + 1 + 1r = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 1r = -2 + 1 1r = -2 + 1 Combine like terms: -2 + 1 = -1 1r = -1 Divide each side by '1'. r = -1 Simplifying r = -1
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