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Simplifying 82 = -1(6 + 4r) + -7r 82 = (6 * -1 + 4r * -1) + -7r 82 = (-6 + -4r) + -7r Combine like terms: -4r + -7r = -11r 82 = -6 + -11r Solving 82 = -6 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. 82 + 11r = -6 + -11r + 11r Combine like terms: -11r + 11r = 0 82 + 11r = -6 + 0 82 + 11r = -6 Add '-82' to each side of the equation. 82 + -82 + 11r = -6 + -82 Combine like terms: 82 + -82 = 0 0 + 11r = -6 + -82 11r = -6 + -82 Combine like terms: -6 + -82 = -88 11r = -88 Divide each side by '11'. r = -8 Simplifying r = -8
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