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Simplifying -5(r + 8) = -82 Reorder the terms: -5(8 + r) = -82 (8 * -5 + r * -5) = -82 (-40 + -5r) = -82 Solving -40 + -5r = -82 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -5r = -82 + 40 Combine like terms: -40 + 40 = 0 0 + -5r = -82 + 40 -5r = -82 + 40 Combine like terms: -82 + 40 = -42 -5r = -42 Divide each side by '-5'. r = 8.4 Simplifying r = 8.4
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