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Simplifying -5(r + 7) = -83 Reorder the terms: -5(7 + r) = -83 (7 * -5 + r * -5) = -83 (-35 + -5r) = -83 Solving -35 + -5r = -83 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -5r = -83 + 35 Combine like terms: -35 + 35 = 0 0 + -5r = -83 + 35 -5r = -83 + 35 Combine like terms: -83 + 35 = -48 -5r = -48 Divide each side by '-5'. r = 9.6 Simplifying r = 9.6
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