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Simplifying -2(-6 + 6r) + -1 = 31 + -2r (-6 * -2 + 6r * -2) + -1 = 31 + -2r (12 + -12r) + -1 = 31 + -2r Reorder the terms: 12 + -1 + -12r = 31 + -2r Combine like terms: 12 + -1 = 11 11 + -12r = 31 + -2r Solving 11 + -12r = 31 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 11 + -12r + 2r = 31 + -2r + 2r Combine like terms: -12r + 2r = -10r 11 + -10r = 31 + -2r + 2r Combine like terms: -2r + 2r = 0 11 + -10r = 31 + 0 11 + -10r = 31 Add '-11' to each side of the equation. 11 + -11 + -10r = 31 + -11 Combine like terms: 11 + -11 = 0 0 + -10r = 31 + -11 -10r = 31 + -11 Combine like terms: 31 + -11 = 20 -10r = 20 Divide each side by '-10'. r = -2 Simplifying r = -2
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