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Simplifying 2(3r + 4) = 4r + 20 Reorder the terms: 2(4 + 3r) = 4r + 20 (4 * 2 + 3r * 2) = 4r + 20 (8 + 6r) = 4r + 20 Reorder the terms: 8 + 6r = 20 + 4r Solving 8 + 6r = 20 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 8 + 6r + -4r = 20 + 4r + -4r Combine like terms: 6r + -4r = 2r 8 + 2r = 20 + 4r + -4r Combine like terms: 4r + -4r = 0 8 + 2r = 20 + 0 8 + 2r = 20 Add '-8' to each side of the equation. 8 + -8 + 2r = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = 20 + -8 2r = 20 + -8 Combine like terms: 20 + -8 = 12 2r = 12 Divide each side by '2'. r = 6 Simplifying r = 6
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