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Simplifying 2(4 + 3r) = (r + 1) + 11 (4 * 2 + 3r * 2) = (r + 1) + 11 (8 + 6r) = (r + 1) + 11 Reorder the terms: 8 + 6r = (1 + r) + 11 Remove parenthesis around (1 + r) 8 + 6r = 1 + r + 11 Reorder the terms: 8 + 6r = 1 + 11 + r Combine like terms: 1 + 11 = 12 8 + 6r = 12 + r Solving 8 + 6r = 12 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 8 + 6r + -1r = 12 + r + -1r Combine like terms: 6r + -1r = 5r 8 + 5r = 12 + r + -1r Combine like terms: r + -1r = 0 8 + 5r = 12 + 0 8 + 5r = 12 Add '-8' to each side of the equation. 8 + -8 + 5r = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 5r = 12 + -8 5r = 12 + -8 Combine like terms: 12 + -8 = 4 5r = 4 Divide each side by '5'. r = 0.8 Simplifying r = 0.8
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