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Simplifying -7(r + 5) = 84 Reorder the terms: -7(5 + r) = 84 (5 * -7 + r * -7) = 84 (-35 + -7r) = 84 Solving -35 + -7r = 84 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 + -7r = 84 + 35 Combine like terms: -35 + 35 = 0 0 + -7r = 84 + 35 -7r = 84 + 35 Combine like terms: 84 + 35 = 119 -7r = 119 Divide each side by '-7'. r = -17 Simplifying r = -17
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