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Simplifying 82 = 2(-6 + -5r) 82 = (-6 * 2 + -5r * 2) 82 = (-12 + -10r) Solving 82 = -12 + -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. 82 + 10r = -12 + -10r + 10r Combine like terms: -10r + 10r = 0 82 + 10r = -12 + 0 82 + 10r = -12 Add '-82' to each side of the equation. 82 + -82 + 10r = -12 + -82 Combine like terms: 82 + -82 = 0 0 + 10r = -12 + -82 10r = -12 + -82 Combine like terms: -12 + -82 = -94 10r = -94 Divide each side by '10'. r = -9.4 Simplifying r = -9.4
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