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Simplifying 6 + -1(n + 5) + -4n + 2 = n + 9 Reorder the terms: 6 + -1(5 + n) + -4n + 2 = n + 9 6 + (5 * -1 + n * -1) + -4n + 2 = n + 9 6 + (-5 + -1n) + -4n + 2 = n + 9 Reorder the terms: 6 + -5 + 2 + -1n + -4n = n + 9 Combine like terms: 6 + -5 = 1 1 + 2 + -1n + -4n = n + 9 Combine like terms: 1 + 2 = 3 3 + -1n + -4n = n + 9 Combine like terms: -1n + -4n = -5n 3 + -5n = n + 9 Reorder the terms: 3 + -5n = 9 + n Solving 3 + -5n = 9 + 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. 3 + -5n + -1n = 9 + n + -1n Combine like terms: -5n + -1n = -6n 3 + -6n = 9 + n + -1n Combine like terms: n + -1n = 0 3 + -6n = 9 + 0 3 + -6n = 9 Add '-3' to each side of the equation. 3 + -3 + -6n = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -6n = 9 + -3 -6n = 9 + -3 Combine like terms: 9 + -3 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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