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Simplifying 2(4 + -1d + 2b) = 12 Reorder the terms: 2(4 + 2b + -1d) = 12 (4 * 2 + 2b * 2 + -1d * 2) = 12 (8 + 4b + -2d) = 12 Solving 8 + 4b + -2d = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4b + -8 + -2d = 12 + -8 Reorder the terms: 8 + -8 + 4b + -2d = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4b + -2d = 12 + -8 4b + -2d = 12 + -8 Combine like terms: 12 + -8 = 4 4b + -2d = 4 Add '2d' to each side of the equation. 4b + -2d + 2d = 4 + 2d Combine like terms: -2d + 2d = 0 4b + 0 = 4 + 2d 4b = 4 + 2d Divide each side by '4'. b = 1 + 0.5d Simplifying b = 1 + 0.5d
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