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Simplifying 6(n + 1) = 3d + -6 + 8 Reorder the terms: 6(1 + n) = 3d + -6 + 8 (1 * 6 + n * 6) = 3d + -6 + 8 (6 + 6n) = 3d + -6 + 8 Reorder the terms: 6 + 6n = -6 + 8 + 3d Combine like terms: -6 + 8 = 2 6 + 6n = 2 + 3d Solving 6 + 6n = 2 + 3d Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6n = 2 + -6 + 3d Combine like terms: 6 + -6 = 0 0 + 6n = 2 + -6 + 3d 6n = 2 + -6 + 3d Combine like terms: 2 + -6 = -4 6n = -4 + 3d Divide each side by '6'. n = -0.6666666667 + 0.5d Simplifying n = -0.6666666667 + 0.5d
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