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Simplifying 3n + 5(n + -3) = 7 + 4n Reorder the terms: 3n + 5(-3 + n) = 7 + 4n 3n + (-3 * 5 + n * 5) = 7 + 4n 3n + (-15 + 5n) = 7 + 4n Reorder the terms: -15 + 3n + 5n = 7 + 4n Combine like terms: 3n + 5n = 8n -15 + 8n = 7 + 4n Solving -15 + 8n = 7 + 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. -15 + 8n + -4n = 7 + 4n + -4n Combine like terms: 8n + -4n = 4n -15 + 4n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 -15 + 4n = 7 + 0 -15 + 4n = 7 Add '15' to each side of the equation. -15 + 15 + 4n = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 4n = 7 + 15 4n = 7 + 15 Combine like terms: 7 + 15 = 22 4n = 22 Divide each side by '4'. n = 5.5 Simplifying n = 5.5
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