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Simplifying 4(8n + 10d + -7d) = 0 Reorder the terms: 4(10d + -7d + 8n) = 0 Combine like terms: 10d + -7d = 3d 4(3d + 8n) = 0 (3d * 4 + 8n * 4) = 0 (12d + 32n) = 0 Solving 12d + 32n = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-32n' to each side of the equation. 12d + 32n + -32n = 0 + -32n Combine like terms: 32n + -32n = 0 12d + 0 = 0 + -32n 12d = 0 + -32n Remove the zero: 12d = -32n Divide each side by '12'. d = -2.666666667n Simplifying d = -2.666666667n
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