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Simplifying 6d + 2(b + -2d) = 12 6d + (b * 2 + -2d * 2) = 12 6d + (2b + -4d) = 12 Reorder the terms: 2b + 6d + -4d = 12 Combine like terms: 6d + -4d = 2d 2b + 2d = 12 Solving 2b + 2d = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2d' to each side of the equation. 2b + 2d + -2d = 12 + -2d Combine like terms: 2d + -2d = 0 2b + 0 = 12 + -2d 2b = 12 + -2d Divide each side by '2'. b = 6 + -1d Simplifying b = 6 + -1d
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