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Simplifying 3(n + 5) + -6 = n + 5 Reorder the terms: 3(5 + n) + -6 = n + 5 (5 * 3 + n * 3) + -6 = n + 5 (15 + 3n) + -6 = n + 5 Reorder the terms: 15 + -6 + 3n = n + 5 Combine like terms: 15 + -6 = 9 9 + 3n = n + 5 Reorder the terms: 9 + 3n = 5 + n Solving 9 + 3n = 5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 9 + 3n + -1n = 5 + n + -1n Combine like terms: 3n + -1n = 2n 9 + 2n = 5 + n + -1n Combine like terms: n + -1n = 0 9 + 2n = 5 + 0 9 + 2n = 5 Add '-9' to each side of the equation. 9 + -9 + 2n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = 5 + -9 2n = 5 + -9 Combine like terms: 5 + -9 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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