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Simplifying 39(d + 12) = 8 + -4d Reorder the terms: 39(12 + d) = 8 + -4d (12 * 39 + d * 39) = 8 + -4d (468 + 39d) = 8 + -4d Solving 468 + 39d = 8 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 468 + 39d + 4d = 8 + -4d + 4d Combine like terms: 39d + 4d = 43d 468 + 43d = 8 + -4d + 4d Combine like terms: -4d + 4d = 0 468 + 43d = 8 + 0 468 + 43d = 8 Add '-468' to each side of the equation. 468 + -468 + 43d = 8 + -468 Combine like terms: 468 + -468 = 0 0 + 43d = 8 + -468 43d = 8 + -468 Combine like terms: 8 + -468 = -460 43d = -460 Divide each side by '43'. d = -10.69767442 Simplifying d = -10.69767442
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