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Simplifying 16 = 8 + 6(n + 5) Reorder the terms: 16 = 8 + 6(5 + n) 16 = 8 + (5 * 6 + n * 6) 16 = 8 + (30 + 6n) Combine like terms: 8 + 30 = 38 16 = 38 + 6n Solving 16 = 38 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 16 + -6n = 38 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + -6n = 38 + 0 16 + -6n = 38 Add '-16' to each side of the equation. 16 + -16 + -6n = 38 + -16 Combine like terms: 16 + -16 = 0 0 + -6n = 38 + -16 -6n = 38 + -16 Combine like terms: 38 + -16 = 22 -6n = 22 Divide each side by '-6'. n = -3.666666667 Simplifying n = -3.666666667
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