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Simplifying 8r + 3(r + 6) = 84 Reorder the terms: 8r + 3(6 + r) = 84 8r + (6 * 3 + r * 3) = 84 8r + (18 + 3r) = 84 Reorder the terms: 18 + 8r + 3r = 84 Combine like terms: 8r + 3r = 11r 18 + 11r = 84 Solving 18 + 11r = 84 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 11r = 84 + -18 Combine like terms: 18 + -18 = 0 0 + 11r = 84 + -18 11r = 84 + -18 Combine like terms: 84 + -18 = 66 11r = 66 Divide each side by '11'. r = 6 Simplifying r = 6
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