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Simplifying -9d + -24 = -3(d + 8 + -6d) Reorder the terms: -24 + -9d = -3(d + 8 + -6d) Reorder the terms: -24 + -9d = -3(8 + d + -6d) Combine like terms: d + -6d = -5d -24 + -9d = -3(8 + -5d) -24 + -9d = (8 * -3 + -5d * -3) -24 + -9d = (-24 + 15d) Add '24' to each side of the equation. -24 + 24 + -9d = -24 + 24 + 15d Combine like terms: -24 + 24 = 0 0 + -9d = -24 + 24 + 15d -9d = -24 + 24 + 15d Combine like terms: -24 + 24 = 0 -9d = 0 + 15d -9d = 15d Solving -9d = 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. -9d + -15d = 15d + -15d Combine like terms: -9d + -15d = -24d -24d = 15d + -15d Combine like terms: 15d + -15d = 0 -24d = 0 Divide each side by '-24'. d = 0 Simplifying d = 0
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