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Simplifying -9d + -24 = 3 + -1(d + 8) + -6d Reorder the terms: -24 + -9d = 3 + -1(d + 8) + -6d Reorder the terms: -24 + -9d = 3 + -1(8 + d) + -6d -24 + -9d = 3 + (8 * -1 + d * -1) + -6d -24 + -9d = 3 + (-8 + -1d) + -6d Combine like terms: 3 + -8 = -5 -24 + -9d = -5 + -1d + -6d Combine like terms: -1d + -6d = -7d -24 + -9d = -5 + -7d Solving -24 + -9d = -5 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -24 + -9d + 7d = -5 + -7d + 7d Combine like terms: -9d + 7d = -2d -24 + -2d = -5 + -7d + 7d Combine like terms: -7d + 7d = 0 -24 + -2d = -5 + 0 -24 + -2d = -5 Add '24' to each side of the equation. -24 + 24 + -2d = -5 + 24 Combine like terms: -24 + 24 = 0 0 + -2d = -5 + 24 -2d = -5 + 24 Combine like terms: -5 + 24 = 19 -2d = 19 Divide each side by '-2'. d = -9.5 Simplifying d = -9.5
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