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Simplifying 30 + 8n = 3(3 + 5n) 30 + 8n = (3 * 3 + 5n * 3) 30 + 8n = (9 + 15n) Solving 30 + 8n = 9 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 30 + 8n + -15n = 9 + 15n + -15n Combine like terms: 8n + -15n = -7n 30 + -7n = 9 + 15n + -15n Combine like terms: 15n + -15n = 0 30 + -7n = 9 + 0 30 + -7n = 9 Add '-30' to each side of the equation. 30 + -30 + -7n = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -7n = 9 + -30 -7n = 9 + -30 Combine like terms: 9 + -30 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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