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Simplifying -2(1 + 6r) = 20 + -1r (1 * -2 + 6r * -2) = 20 + -1r (-2 + -12r) = 20 + -1r Solving -2 + -12r = 20 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -2 + -12r + r = 20 + -1r + r Combine like terms: -12r + r = -11r -2 + -11r = 20 + -1r + r Combine like terms: -1r + r = 0 -2 + -11r = 20 + 0 -2 + -11r = 20 Add '2' to each side of the equation. -2 + 2 + -11r = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -11r = 20 + 2 -11r = 20 + 2 Combine like terms: 20 + 2 = 22 -11r = 22 Divide each side by '-11'. r = -2 Simplifying r = -2
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