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Simplifying 0.5 = 4d + 0.1 Reorder the terms: 0.5 = 0.1 + 4d Solving 0.5 = 0.1 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 0.5 + -4d = 0.1 + 4d + -4d Combine like terms: 4d + -4d = 0 0.5 + -4d = 0.1 + 0 0.5 + -4d = 0.1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -4d = 0.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -4d = 0.1 + -0.5 -4d = 0.1 + -0.5 Combine like terms: 0.1 + -0.5 = -0.4 -4d = -0.4 Divide each side by '-4'. d = 0.1 Simplifying d = 0.1
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