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Simplifying 2w2 + -4d + 1 = 0 Reorder the terms: 1 + -4d + 2w2 = 0 Solving 1 + -4d + 2w2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4d + -1 + 2w2 = 0 + -1 Reorder the terms: 1 + -1 + -4d + 2w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4d + 2w2 = 0 + -1 -4d + 2w2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4d + 2w2 = -1 Add '-2w2' to each side of the equation. -4d + 2w2 + -2w2 = -1 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -4d + 0 = -1 + -2w2 -4d = -1 + -2w2 Divide each side by '-4'. d = 0.25 + 0.5w2 Simplifying d = 0.25 + 0.5w2
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