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Simplifying 0.1d + -0.02 + 0.4d = 0.5 + d Reorder the terms: -0.02 + 0.1d + 0.4d = 0.5 + d Combine like terms: 0.1d + 0.4d = 0.5d -0.02 + 0.5d = 0.5 + d Solving -0.02 + 0.5d = 0.5 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -0.02 + 0.5d + -1d = 0.5 + d + -1d Combine like terms: 0.5d + -1d = -0.5d -0.02 + -0.5d = 0.5 + d + -1d Combine like terms: d + -1d = 0 -0.02 + -0.5d = 0.5 + 0 -0.02 + -0.5d = 0.5 Add '0.02' to each side of the equation. -0.02 + 0.02 + -0.5d = 0.5 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + -0.5d = 0.5 + 0.02 -0.5d = 0.5 + 0.02 Combine like terms: 0.5 + 0.02 = 0.52 -0.5d = 0.52 Divide each side by '-0.5'. d = -1.04 Simplifying d = -1.04
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