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Simplifying 5(3n + -3) = (7n + 9) + 8 Reorder the terms: 5(-3 + 3n) = (7n + 9) + 8 (-3 * 5 + 3n * 5) = (7n + 9) + 8 (-15 + 15n) = (7n + 9) + 8 Reorder the terms: -15 + 15n = (9 + 7n) + 8 Remove parenthesis around (9 + 7n) -15 + 15n = 9 + 7n + 8 Reorder the terms: -15 + 15n = 9 + 8 + 7n Combine like terms: 9 + 8 = 17 -15 + 15n = 17 + 7n Solving -15 + 15n = 17 + 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 = 17 + 7n + -7n Combine like terms: 15n + -7n = 8n -15 + 8n = 17 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + 8n = 17 + 0 -15 + 8n = 17 Add '15' to each side of the equation. -15 + 15 + 8n = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 8n = 17 + 15 8n = 17 + 15 Combine like terms: 17 + 15 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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