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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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