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Simplifying 0.5d + 4 = 2(d + 2) Reorder the terms: 4 + 0.5d = 2(d + 2) Reorder the terms: 4 + 0.5d = 2(2 + d) 4 + 0.5d = (2 * 2 + d * 2) 4 + 0.5d = (4 + 2d) Add '-4' to each side of the equation. 4 + -4 + 0.5d = 4 + -4 + 2d Combine like terms: 4 + -4 = 0 0 + 0.5d = 4 + -4 + 2d 0.5d = 4 + -4 + 2d Combine like terms: 4 + -4 = 0 0.5d = 0 + 2d 0.5d = 2d Solving 0.5d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 0.5d + -2d = 2d + -2d Combine like terms: 0.5d + -2d = -1.5d -1.5d = 2d + -2d Combine like terms: 2d + -2d = 0 -1.5d = 0 Divide each side by '-1.5'. d = 0 Simplifying d = 0
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