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Simplifying 24 + 6n = -3(n + -5) Reorder the terms: 24 + 6n = -3(-5 + n) 24 + 6n = (-5 * -3 + n * -3) 24 + 6n = (15 + -3n) Solving 24 + 6n = 15 + -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 + 6n + 3n = 15 + -3n + 3n Combine like terms: 6n + 3n = 9n 24 + 9n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 24 + 9n = 15 + 0 24 + 9n = 15 Add '-24' to each side of the equation. 24 + -24 + 9n = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 9n = 15 + -24 9n = 15 + -24 Combine like terms: 15 + -24 = -9 9n = -9 Divide each side by '9'. n = -1 Simplifying n = -1
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