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Simplifying 24 + 3n = -4(n + 8) Reorder the terms: 24 + 3n = -4(8 + n) 24 + 3n = (8 * -4 + n * -4) 24 + 3n = (-32 + -4n) Solving 24 + 3n = -32 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 24 + 3n + 4n = -32 + -4n + 4n Combine like terms: 3n + 4n = 7n 24 + 7n = -32 + -4n + 4n Combine like terms: -4n + 4n = 0 24 + 7n = -32 + 0 24 + 7n = -32 Add '-24' to each side of the equation. 24 + -24 + 7n = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 7n = -32 + -24 7n = -32 + -24 Combine like terms: -32 + -24 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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