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Simplifying 3(12d + 19) + -12d = 16d + -20 + -19 Reorder the terms: 3(19 + 12d) + -12d = 16d + -20 + -19 (19 * 3 + 12d * 3) + -12d = 16d + -20 + -19 (57 + 36d) + -12d = 16d + -20 + -19 Combine like terms: 36d + -12d = 24d 57 + 24d = 16d + -20 + -19 Reorder the terms: 57 + 24d = -20 + -19 + 16d Combine like terms: -20 + -19 = -39 57 + 24d = -39 + 16d Solving 57 + 24d = -39 + 16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16d' to each side of the equation. 57 + 24d + -16d = -39 + 16d + -16d Combine like terms: 24d + -16d = 8d 57 + 8d = -39 + 16d + -16d Combine like terms: 16d + -16d = 0 57 + 8d = -39 + 0 57 + 8d = -39 Add '-57' to each side of the equation. 57 + -57 + 8d = -39 + -57 Combine like terms: 57 + -57 = 0 0 + 8d = -39 + -57 8d = -39 + -57 Combine like terms: -39 + -57 = -96 8d = -96 Divide each side by '8'. d = -12 Simplifying d = -12
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