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Simplifying 24 = -6(n + -3) + 3(n + -6) Reorder the terms: 24 = -6(-3 + n) + 3(n + -6) 24 = (-3 * -6 + n * -6) + 3(n + -6) 24 = (18 + -6n) + 3(n + -6) Reorder the terms: 24 = 18 + -6n + 3(-6 + n) 24 = 18 + -6n + (-6 * 3 + n * 3) 24 = 18 + -6n + (-18 + 3n) Reorder the terms: 24 = 18 + -18 + -6n + 3n Combine like terms: 18 + -18 = 0 24 = 0 + -6n + 3n 24 = -6n + 3n Combine like terms: -6n + 3n = -3n 24 = -3n Solving 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. 24 + 3n = -3n + 3n Combine like terms: -3n + 3n = 0 24 + 3n = 0 Add '-24' to each side of the equation. 24 + -24 + 3n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3n = 0 + -24 3n = 0 + -24 Combine like terms: 0 + -24 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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