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Simplifying 0.7d + -512 = 0.5d + 288 Reorder the terms: -512 + 0.7d = 0.5d + 288 Reorder the terms: -512 + 0.7d = 288 + 0.5d Solving -512 + 0.7d = 288 + 0.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.5d' to each side of the equation. -512 + 0.7d + -0.5d = 288 + 0.5d + -0.5d Combine like terms: 0.7d + -0.5d = 0.2d -512 + 0.2d = 288 + 0.5d + -0.5d Combine like terms: 0.5d + -0.5d = 0.0 -512 + 0.2d = 288 + 0.0 -512 + 0.2d = 288 Add '512' to each side of the equation. -512 + 512 + 0.2d = 288 + 512 Combine like terms: -512 + 512 = 0 0 + 0.2d = 288 + 512 0.2d = 288 + 512 Combine like terms: 288 + 512 = 800 0.2d = 800 Divide each side by '0.2'. d = 4000 Simplifying d = 4000
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