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Simplifying 31 = -4 + 5(n + 2) Reorder the terms: 31 = -4 + 5(2 + n) 31 = -4 + (2 * 5 + n * 5) 31 = -4 + (10 + 5n) Combine like terms: -4 + 10 = 6 31 = 6 + 5n Solving 31 = 6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 31 + -5n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 31 + -5n = 6 + 0 31 + -5n = 6 Add '-31' to each side of the equation. 31 + -31 + -5n = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -5n = 6 + -31 -5n = 6 + -31 Combine like terms: 6 + -31 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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