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