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Simplifying 8(d + 78) + -33 = 47 Reorder the terms: 8(78 + d) + -33 = 47 (78 * 8 + d * 8) + -33 = 47 (624 + 8d) + -33 = 47 Reorder the terms: 624 + -33 + 8d = 47 Combine like terms: 624 + -33 = 591 591 + 8d = 47 Solving 591 + 8d = 47 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-591' to each side of the equation. 591 + -591 + 8d = 47 + -591 Combine like terms: 591 + -591 = 0 0 + 8d = 47 + -591 8d = 47 + -591 Combine like terms: 47 + -591 = -544 8d = -544 Divide each side by '8'. d = -68 Simplifying d = -68
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