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Simplifying 2(1 + 2r) = 2r + 4 (1 * 2 + 2r * 2) = 2r + 4 (2 + 4r) = 2r + 4 Reorder the terms: 2 + 4r = 4 + 2r Solving 2 + 4r = 4 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 2 + 4r + -2r = 4 + 2r + -2r Combine like terms: 4r + -2r = 2r 2 + 2r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 2r = 4 + 0 2 + 2r = 4 Add '-2' to each side of the equation. 2 + -2 + 2r = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 4 + -2 2r = 4 + -2 Combine like terms: 4 + -2 = 2 2r = 2 Divide each side by '2'. r = 1 Simplifying r = 1
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