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Simplifying 2r + 2(r + 200) = 1100 Reorder the terms: 2r + 2(200 + r) = 1100 2r + (200 * 2 + r * 2) = 1100 2r + (400 + 2r) = 1100 Reorder the terms: 400 + 2r + 2r = 1100 Combine like terms: 2r + 2r = 4r 400 + 4r = 1100 Solving 400 + 4r = 1100 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + 4r = 1100 + -400 Combine like terms: 400 + -400 = 0 0 + 4r = 1100 + -400 4r = 1100 + -400 Combine like terms: 1100 + -400 = 700 4r = 700 Divide each side by '4'. r = 175 Simplifying r = 175
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