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Simplifying 16 = -8 + 6(n + 7) Reorder the terms: 16 = -8 + 6(7 + n) 16 = -8 + (7 * 6 + n * 6) 16 = -8 + (42 + 6n) Combine like terms: -8 + 42 = 34 16 = 34 + 6n Solving 16 = 34 + 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 = 34 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + -6n = 34 + 0 16 + -6n = 34 Add '-16' to each side of the equation. 16 + -16 + -6n = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -6n = 34 + -16 -6n = 34 + -16 Combine like terms: 34 + -16 = 18 -6n = 18 Divide each side by '-6'. n = -3 Simplifying n = -3
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