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Simplifying 6d + -1s(d + -8) = 2(d + 12) Reorder the terms: 6d + -1s(-8 + d) = 2(d + 12) 6d + (-8 * -1s + d * -1s) = 2(d + 12) Reorder the terms: 6d + (-1ds + 8s) = 2(d + 12) 6d + (-1ds + 8s) = 2(d + 12) Reorder the terms: 6d + -1ds + 8s = 2(12 + d) 6d + -1ds + 8s = (12 * 2 + d * 2) 6d + -1ds + 8s = (24 + 2d) Solving 6d + -1ds + 8s = 24 + 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. 6d + -1ds + -2d + 8s = 24 + 2d + -2d Reorder the terms: 6d + -2d + -1ds + 8s = 24 + 2d + -2d Combine like terms: 6d + -2d = 4d 4d + -1ds + 8s = 24 + 2d + -2d Combine like terms: 2d + -2d = 0 4d + -1ds + 8s = 24 + 0 4d + -1ds + 8s = 24 Add '-8s' to each side of the equation. 4d + -1ds + 8s + -8s = 24 + -8s Combine like terms: 8s + -8s = 0 4d + -1ds + 0 = 24 + -8s 4d + -1ds = 24 + -8s Reorder the terms: -24 + 4d + -1ds + 8s = 24 + -8s + -24 + 8s Reorder the terms: -24 + 4d + -1ds + 8s = 24 + -24 + -8s + 8s Combine like terms: 24 + -24 = 0 -24 + 4d + -1ds + 8s = 0 + -8s + 8s -24 + 4d + -1ds + 8s = -8s + 8s Combine like terms: -8s + 8s = 0 -24 + 4d + -1ds + 8s = 0 The solution to this equation could not be determined.
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