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Simplifying -24 = 4 + 6(n + 5) Reorder the terms: -24 = 4 + 6(5 + n) -24 = 4 + (5 * 6 + n * 6) -24 = 4 + (30 + 6n) Combine like terms: 4 + 30 = 34 -24 = 34 + 6n Solving -24 = 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. -24 + -6n = 34 + 6n + -6n Combine like terms: 6n + -6n = 0 -24 + -6n = 34 + 0 -24 + -6n = 34 Add '24' to each side of the equation. -24 + 24 + -6n = 34 + 24 Combine like terms: -24 + 24 = 0 0 + -6n = 34 + 24 -6n = 34 + 24 Combine like terms: 34 + 24 = 58 -6n = 58 Divide each side by '-6'. n = -9.666666667 Simplifying n = -9.666666667
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