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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 = -70 -10r = -70 Divide each side by '-10'. r = 7 Simplifying r = 7
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