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Simplifying -2(1 + -6r) = -12 + 22r (1 * -2 + -6r * -2) = -12 + 22r (-2 + 12r) = -12 + 22r Solving -2 + 12r = -12 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. -2 + 12r + -22r = -12 + 22r + -22r Combine like terms: 12r + -22r = -10r -2 + -10r = -12 + 22r + -22r Combine like terms: 22r + -22r = 0 -2 + -10r = -12 + 0 -2 + -10r = -12 Add '2' to each side of the equation. -2 + 2 + -10r = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -10r = -12 + 2 -10r = -12 + 2 Combine like terms: -12 + 2 = -10 -10r = -10 Divide each side by '-10'. r = 1 Simplifying r = 1
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