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Simplifying 6(n + -1) = -24 + -3n Reorder the terms: 6(-1 + n) = -24 + -3n (-1 * 6 + n * 6) = -24 + -3n (-6 + 6n) = -24 + -3n Solving -6 + 6n = -24 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -6 + 6n + 3n = -24 + -3n + 3n Combine like terms: 6n + 3n = 9n -6 + 9n = -24 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 + 9n = -24 + 0 -6 + 9n = -24 Add '6' to each side of the equation. -6 + 6 + 9n = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 9n = -24 + 6 9n = -24 + 6 Combine like terms: -24 + 6 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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