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Simplifying 4(2n + -6) = 3(n + 5) Reorder the terms: 4(-6 + 2n) = 3(n + 5) (-6 * 4 + 2n * 4) = 3(n + 5) (-24 + 8n) = 3(n + 5) Reorder the terms: -24 + 8n = 3(5 + n) -24 + 8n = (5 * 3 + n * 3) -24 + 8n = (15 + 3n) Solving -24 + 8n = 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 + 8n + -3n = 15 + 3n + -3n Combine like terms: 8n + -3n = 5n -24 + 5n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 -24 + 5n = 15 + 0 -24 + 5n = 15 Add '24' to each side of the equation. -24 + 24 + 5n = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 5n = 15 + 24 5n = 15 + 24 Combine like terms: 15 + 24 = 39 5n = 39 Divide each side by '5'. n = 7.8 Simplifying n = 7.8
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