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Simplifying 5n + 8 + -1n = 6(n + -1) Reorder the terms: 8 + 5n + -1n = 6(n + -1) Combine like terms: 5n + -1n = 4n 8 + 4n = 6(n + -1) Reorder the terms: 8 + 4n = 6(-1 + n) 8 + 4n = (-1 * 6 + n * 6) 8 + 4n = (-6 + 6n) Solving 8 + 4n = -6 + 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 + 4n + -6n = -6 + 6n + -6n Combine like terms: 4n + -6n = -2n 8 + -2n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -2n = -6 + 0 8 + -2n = -6 Add '-8' to each side of the equation. 8 + -8 + -2n = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -6 + -8 -2n = -6 + -8 Combine like terms: -6 + -8 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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