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Simplifying -24 + 3n = -3(n + -6) Reorder the terms: -24 + 3n = -3(-6 + n) -24 + 3n = (-6 * -3 + n * -3) -24 + 3n = (18 + -3n) Solving -24 + 3n = 18 + -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 = 18 + -3n + 3n Combine like terms: 3n + 3n = 6n -24 + 6n = 18 + -3n + 3n Combine like terms: -3n + 3n = 0 -24 + 6n = 18 + 0 -24 + 6n = 18 Add '24' to each side of the equation. -24 + 24 + 6n = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 6n = 18 + 24 6n = 18 + 24 Combine like terms: 18 + 24 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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