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Simplifying 8n + 2 + 6d = (3D + 10) * 6 Reorder the terms: 2 + 6d + 8n = (3D + 10) * 6 Reorder the terms: 2 + 6d + 8n = (10 + 3D) * 6 Reorder the terms for easier multiplication: 2 + 6d + 8n = 6(10 + 3D) 2 + 6d + 8n = (10 * 6 + 3D * 6) 2 + 6d + 8n = (60 + 18D) Solving 2 + 6d + 8n = 60 + 18D Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6d + -2 + 8n = 60 + -2 + 18D Reorder the terms: 2 + -2 + 6d + 8n = 60 + -2 + 18D Combine like terms: 2 + -2 = 0 0 + 6d + 8n = 60 + -2 + 18D 6d + 8n = 60 + -2 + 18D Combine like terms: 60 + -2 = 58 6d + 8n = 58 + 18D Add '-8n' to each side of the equation. 6d + 8n + -8n = 58 + 18D + -8n Combine like terms: 8n + -8n = 0 6d + 0 = 58 + 18D + -8n 6d = 58 + 18D + -8n Divide each side by '6'. d = 9.666666667 + 3D + -1.333333333n Simplifying d = 9.666666667 + 3D + -1.333333333n
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