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Simplifying 4(2r + 5) = 84 Reorder the terms: 4(5 + 2r) = 84 (5 * 4 + 2r * 4) = 84 (20 + 8r) = 84 Solving 20 + 8r = 84 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8r = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 8r = 84 + -20 8r = 84 + -20 Combine like terms: 84 + -20 = 64 8r = 64 Divide each side by '8'. r = 8 Simplifying r = 8
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