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Simplifying -12 = d + 8d + 5 + -3d + -2 Reorder the terms: -12 = 5 + -2 + d + 8d + -3d Combine like terms: 5 + -2 = 3 -12 = 3 + d + 8d + -3d Combine like terms: d + 8d = 9d -12 = 3 + 9d + -3d Combine like terms: 9d + -3d = 6d -12 = 3 + 6d Solving -12 = 3 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -12 + -6d = 3 + 6d + -6d Combine like terms: 6d + -6d = 0 -12 + -6d = 3 + 0 -12 + -6d = 3 Add '12' to each side of the equation. -12 + 12 + -6d = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -6d = 3 + 12 -6d = 3 + 12 Combine like terms: 3 + 12 = 15 -6d = 15 Divide each side by '-6'. d = -2.5 Simplifying d = -2.5
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