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Simplifying -6(r + 7) = -84 Reorder the terms: -6(7 + r) = -84 (7 * -6 + r * -6) = -84 (-42 + -6r) = -84 Solving -42 + -6r = -84 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -6r = -84 + 42 Combine like terms: -42 + 42 = 0 0 + -6r = -84 + 42 -6r = -84 + 42 Combine like terms: -84 + 42 = -42 -6r = -42 Divide each side by '-6'. r = 7 Simplifying r = 7
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