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Simplifying -24 + -5d = -9(7d + -6) Reorder the terms: -24 + -5d = -9(-6 + 7d) -24 + -5d = (-6 * -9 + 7d * -9) -24 + -5d = (54 + -63d) Solving -24 + -5d = 54 + -63d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '63d' to each side of the equation. -24 + -5d + 63d = 54 + -63d + 63d Combine like terms: -5d + 63d = 58d -24 + 58d = 54 + -63d + 63d Combine like terms: -63d + 63d = 0 -24 + 58d = 54 + 0 -24 + 58d = 54 Add '24' to each side of the equation. -24 + 24 + 58d = 54 + 24 Combine like terms: -24 + 24 = 0 0 + 58d = 54 + 24 58d = 54 + 24 Combine like terms: 54 + 24 = 78 58d = 78 Divide each side by '58'. d = 1.344827586 Simplifying d = 1.344827586
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