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Simplifying 3(r + 30) = 510 Reorder the terms: 3(30 + r) = 510 (30 * 3 + r * 3) = 510 (90 + 3r) = 510 Solving 90 + 3r = 510 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 3r = 510 + -90 Combine like terms: 90 + -90 = 0 0 + 3r = 510 + -90 3r = 510 + -90 Combine like terms: 510 + -90 = 420 3r = 420 Divide each side by '3'. r = 140 Simplifying r = 140
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