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Simplifying 3r + 3(r + 10) = 270 Reorder the terms: 3r + 3(10 + r) = 270 3r + (10 * 3 + r * 3) = 270 3r + (30 + 3r) = 270 Reorder the terms: 30 + 3r + 3r = 270 Combine like terms: 3r + 3r = 6r 30 + 6r = 270 Solving 30 + 6r = 270 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6r = 270 + -30 Combine like terms: 30 + -30 = 0 0 + 6r = 270 + -30 6r = 270 + -30 Combine like terms: 270 + -30 = 240 6r = 240 Divide each side by '6'. r = 40 Simplifying r = 40
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