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Simplifying 3(d + 12) = 8 + -4d Reorder the terms: 3(12 + d) = 8 + -4d (12 * 3 + d * 3) = 8 + -4d (36 + 3d) = 8 + -4d Solving 36 + 3d = 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. 36 + 3d + 4d = 8 + -4d + 4d Combine like terms: 3d + 4d = 7d 36 + 7d = 8 + -4d + 4d Combine like terms: -4d + 4d = 0 36 + 7d = 8 + 0 36 + 7d = 8 Add '-36' to each side of the equation. 36 + -36 + 7d = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 7d = 8 + -36 7d = 8 + -36 Combine like terms: 8 + -36 = -28 7d = -28 Divide each side by '7'. d = -4 Simplifying d = -4
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