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Simplifying 7 + 4(6d + 9) + 4d = 0 Reorder the terms: 7 + 4(9 + 6d) + 4d = 0 7 + (9 * 4 + 6d * 4) + 4d = 0 7 + (36 + 24d) + 4d = 0 Combine like terms: 7 + 36 = 43 43 + 24d + 4d = 0 Combine like terms: 24d + 4d = 28d 43 + 28d = 0 Solving 43 + 28d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 28d = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 28d = 0 + -43 28d = 0 + -43 Combine like terms: 0 + -43 = -43 28d = -43 Divide each side by '28'. d = -1.535714286 Simplifying d = -1.535714286
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