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Simplifying 0.10d = 0.25(d + -30) Reorder the terms: 0.10d = 0.25(-30 + d) 0.10d = (-30 * 0.25 + d * 0.25) 0.10d = (-7.5 + 0.25d) Solving 0.10d = -7.5 + 0.25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.25d' to each side of the equation. 0.10d + -0.25d = -7.5 + 0.25d + -0.25d Combine like terms: 0.10d + -0.25d = -0.15d -0.15d = -7.5 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 -0.15d = -7.5 + 0.00 -0.15d = -7.5 Divide each side by '-0.15'. d = 50 Simplifying d = 50
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