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Simplifying 5(3n + -3) = (7n + 5) + 9 Reorder the terms: 5(-3 + 3n) = (7n + 5) + 9 (-3 * 5 + 3n * 5) = (7n + 5) + 9 (-15 + 15n) = (7n + 5) + 9 Reorder the terms: -15 + 15n = (5 + 7n) + 9 Remove parenthesis around (5 + 7n) -15 + 15n = 5 + 7n + 9 Reorder the terms: -15 + 15n = 5 + 9 + 7n Combine like terms: 5 + 9 = 14 -15 + 15n = 14 + 7n Solving -15 + 15n = 14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -15 + 15n + -7n = 14 + 7n + -7n Combine like terms: 15n + -7n = 8n -15 + 8n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + 8n = 14 + 0 -15 + 8n = 14 Add '15' to each side of the equation. -15 + 15 + 8n = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 8n = 14 + 15 8n = 14 + 15 Combine like terms: 14 + 15 = 29 8n = 29 Divide each side by '8'. n = 3.625 Simplifying n = 3.625
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