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Simplifying 5 + -2d + 4d + -7 + w = 0 Reorder the terms: 5 + -7 + -2d + 4d + w = 0 Combine like terms: 5 + -7 = -2 -2 + -2d + 4d + w = 0 Combine like terms: -2d + 4d = 2d -2 + 2d + w = 0 Solving -2 + 2d + w = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2d + 2 + w = 0 + 2 Reorder the terms: -2 + 2 + 2d + w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2d + w = 0 + 2 2d + w = 0 + 2 Combine like terms: 0 + 2 = 2 2d + w = 2 Add '-1w' to each side of the equation. 2d + w + -1w = 2 + -1w Combine like terms: w + -1w = 0 2d + 0 = 2 + -1w 2d = 2 + -1w Divide each side by '2'. d = 1 + -0.5w Simplifying d = 1 + -0.5w
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