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Simplifying 4b + -1d(2d + 2) = 0 Reorder the terms: 4b + -1d(2 + 2d) = 0 4b + (2 * -1d + 2d * -1d) = 0 4b + (-2d + -2d2) = 0 Solving 4b + -2d + -2d2 = 0 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. 4b + -2d + 2d + -2d2 = 0 + 2d Combine like terms: -2d + 2d = 0 4b + 0 + -2d2 = 0 + 2d 4b + -2d2 = 0 + 2d Remove the zero: 4b + -2d2 = 2d Add '2d2' to each side of the equation. 4b + -2d2 + 2d2 = 2d + 2d2 Combine like terms: -2d2 + 2d2 = 0 4b + 0 = 2d + 2d2 4b = 2d + 2d2 Divide each side by '4'. b = 0.5d + 0.5d2 Simplifying b = 0.5d + 0.5d2
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