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Simplifying 100(d + -10) = 15d Reorder the terms: 100(-10 + d) = 15d (-10 * 100 + d * 100) = 15d (-1000 + 100d) = 15d Solving -1000 + 100d = 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -1000 + 100d + -15d = 15d + -15d Combine like terms: 100d + -15d = 85d -1000 + 85d = 15d + -15d Combine like terms: 15d + -15d = 0 -1000 + 85d = 0 Add '1000' to each side of the equation. -1000 + 1000 + 85d = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 85d = 0 + 1000 85d = 0 + 1000 Combine like terms: 0 + 1000 = 1000 85d = 1000 Divide each side by '85'. d = 11.76470588 Simplifying d = 11.76470588
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