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Simplifying 4b + -2x(2x + y + -4) = 0 Reorder the terms: 4b + -2x(-4 + 2x + y) = 0 4b + (-4 * -2x + 2x * -2x + y * -2x) = 0 Reorder the terms: 4b + (8x + -2xy + -4x2) = 0 4b + (8x + -2xy + -4x2) = 0 Solving 4b + 8x + -2xy + -4x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8x' to each side of the equation. 4b + 8x + -2xy + -8x + -4x2 = 0 + -8x Reorder the terms: 4b + 8x + -8x + -2xy + -4x2 = 0 + -8x Combine like terms: 8x + -8x = 0 4b + 0 + -2xy + -4x2 = 0 + -8x 4b + -2xy + -4x2 = 0 + -8x Remove the zero: 4b + -2xy + -4x2 = -8x Add '2xy' to each side of the equation. 4b + -2xy + 2xy + -4x2 = -8x + 2xy Combine like terms: -2xy + 2xy = 0 4b + 0 + -4x2 = -8x + 2xy 4b + -4x2 = -8x + 2xy Add '4x2' to each side of the equation. 4b + -4x2 + 4x2 = -8x + 2xy + 4x2 Combine like terms: -4x2 + 4x2 = 0 4b + 0 = -8x + 2xy + 4x2 4b = -8x + 2xy + 4x2 Divide each side by '4'. b = -2x + 0.5xy + x2 Simplifying b = -2x + 0.5xy + x2
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