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Simplifying 5(n + 6) = 6 + -3(n + -24) Reorder the terms: 5(6 + n) = 6 + -3(n + -24) (6 * 5 + n * 5) = 6 + -3(n + -24) (30 + 5n) = 6 + -3(n + -24) Reorder the terms: 30 + 5n = 6 + -3(-24 + n) 30 + 5n = 6 + (-24 * -3 + n * -3) 30 + 5n = 6 + (72 + -3n) Combine like terms: 6 + 72 = 78 30 + 5n = 78 + -3n Solving 30 + 5n = 78 + -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. 30 + 5n + 3n = 78 + -3n + 3n Combine like terms: 5n + 3n = 8n 30 + 8n = 78 + -3n + 3n Combine like terms: -3n + 3n = 0 30 + 8n = 78 + 0 30 + 8n = 78 Add '-30' to each side of the equation. 30 + -30 + 8n = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 8n = 78 + -30 8n = 78 + -30 Combine like terms: 78 + -30 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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