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Simplifying 3n + 7(d + 1) = 9 + 7d Reorder the terms: 3n + 7(1 + d) = 9 + 7d 3n + (1 * 7 + d * 7) = 9 + 7d 3n + (7 + 7d) = 9 + 7d Reorder the terms: 7 + 7d + 3n = 9 + 7d Add '-7d' to each side of the equation. 7 + 7d + -7d + 3n = 9 + 7d + -7d Combine like terms: 7d + -7d = 0 7 + 0 + 3n = 9 + 7d + -7d 7 + 3n = 9 + 7d + -7d Combine like terms: 7d + -7d = 0 7 + 3n = 9 + 0 7 + 3n = 9 Solving 7 + 3n = 9 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3n = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = 9 + -7 3n = 9 + -7 Combine like terms: 9 + -7 = 2 3n = 2 Divide each side by '3'. n = 0.6666666667 Simplifying n = 0.6666666667
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