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Simplifying -2(1 + -6r) = 2(1 + -5r) (1 * -2 + -6r * -2) = 2(1 + -5r) (-2 + 12r) = 2(1 + -5r) -2 + 12r = (1 * 2 + -5r * 2) -2 + 12r = (2 + -10r) Solving -2 + 12r = 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. -2 + 12r + 10r = 2 + -10r + 10r Combine like terms: 12r + 10r = 22r -2 + 22r = 2 + -10r + 10r Combine like terms: -10r + 10r = 0 -2 + 22r = 2 + 0 -2 + 22r = 2 Add '2' to each side of the equation. -2 + 2 + 22r = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 22r = 2 + 2 22r = 2 + 2 Combine like terms: 2 + 2 = 4 22r = 4 Divide each side by '22'. r = 0.1818181818 Simplifying r = 0.1818181818
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