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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 -24 + 9d = (8 * 3 + d * 3) + -6d -24 + 9d = (24 + 3d) + -6d Combine like terms: 3d + -6d = -3d -24 + 9d = 24 + -3d Solving -24 + 9d = 24 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -24 + 9d + 3d = 24 + -3d + 3d Combine like terms: 9d + 3d = 12d -24 + 12d = 24 + -3d + 3d Combine like terms: -3d + 3d = 0 -24 + 12d = 24 + 0 -24 + 12d = 24 Add '24' to each side of the equation. -24 + 24 + 12d = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 12d = 24 + 24 12d = 24 + 24 Combine like terms: 24 + 24 = 48 12d = 48 Divide each side by '12'. d = 4 Simplifying d = 4
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