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Simplifying 8 = 6(n + 7) Reorder the terms: 8 = 6(7 + n) 8 = (7 * 6 + n * 6) 8 = (42 + 6n) Solving 8 = 42 + 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. 8 + -6n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -6n = 42 + 0 8 + -6n = 42 Add '-8' to each side of the equation. 8 + -8 + -6n = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -6n = 42 + -8 -6n = 42 + -8 Combine like terms: 42 + -8 = 34 -6n = 34 Divide each side by '-6'. n = -5.666666667 Simplifying n = -5.666666667
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