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Simplifying -9d + -24 = -3(d + 8) + -6 + d Reorder the terms: -24 + -9d = -3(d + 8) + -6 + d Reorder the terms: -24 + -9d = -3(8 + d) + -6 + d -24 + -9d = (8 * -3 + d * -3) + -6 + d -24 + -9d = (-24 + -3d) + -6 + d Reorder the terms: -24 + -9d = -24 + -6 + -3d + d Combine like terms: -24 + -6 = -30 -24 + -9d = -30 + -3d + d Combine like terms: -3d + d = -2d -24 + -9d = -30 + -2d Solving -24 + -9d = -30 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -24 + -9d + 2d = -30 + -2d + 2d Combine like terms: -9d + 2d = -7d -24 + -7d = -30 + -2d + 2d Combine like terms: -2d + 2d = 0 -24 + -7d = -30 + 0 -24 + -7d = -30 Add '24' to each side of the equation. -24 + 24 + -7d = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -7d = -30 + 24 -7d = -30 + 24 Combine like terms: -30 + 24 = -6 -7d = -6 Divide each side by '-7'. d = 0.8571428571 Simplifying d = 0.8571428571
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