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Simplifying 2r + 2(r + 45) = 570 Reorder the terms: 2r + 2(45 + r) = 570 2r + (45 * 2 + r * 2) = 570 2r + (90 + 2r) = 570 Reorder the terms: 90 + 2r + 2r = 570 Combine like terms: 2r + 2r = 4r 90 + 4r = 570 Solving 90 + 4r = 570 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 + 4r = 570 + -90 Combine like terms: 90 + -90 = 0 0 + 4r = 570 + -90 4r = 570 + -90 Combine like terms: 570 + -90 = 480 4r = 480 Divide each side by '4'. r = 120 Simplifying r = 120
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