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Simplifying 3d + 4n + -8 + -12n + 6d + -10 = 0 Reorder the terms: -8 + -10 + 3d + 6d + 4n + -12n = 0 Combine like terms: -8 + -10 = -18 -18 + 3d + 6d + 4n + -12n = 0 Combine like terms: 3d + 6d = 9d -18 + 9d + 4n + -12n = 0 Combine like terms: 4n + -12n = -8n -18 + 9d + -8n = 0 Solving -18 + 9d + -8n = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 9d + 18 + -8n = 0 + 18 Reorder the terms: -18 + 18 + 9d + -8n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9d + -8n = 0 + 18 9d + -8n = 0 + 18 Combine like terms: 0 + 18 = 18 9d + -8n = 18 Add '8n' to each side of the equation. 9d + -8n + 8n = 18 + 8n Combine like terms: -8n + 8n = 0 9d + 0 = 18 + 8n 9d = 18 + 8n Divide each side by '9'. d = 2 + 0.8888888889n Simplifying d = 2 + 0.8888888889n
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