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Simplifying 2(r + 10) = 420 Reorder the terms: 2(10 + r) = 420 (10 * 2 + r * 2) = 420 (20 + 2r) = 420 Solving 20 + 2r = 420 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 + 2r = 420 + -20 Combine like terms: 20 + -20 = 0 0 + 2r = 420 + -20 2r = 420 + -20 Combine like terms: 420 + -20 = 400 2r = 400 Divide each side by '2'. r = 200 Simplifying r = 200
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