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Simplifying 3(n + 5) = 1.5n Reorder the terms: 3(5 + n) = 1.5n (5 * 3 + n * 3) = 1.5n (15 + 3n) = 1.5n Solving 15 + 3n = 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. 15 + 3n + -1.5n = 1.5n + -1.5n Combine like terms: 3n + -1.5n = 1.5n 15 + 1.5n = 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 15 + 1.5n = 0.0 Add '-15' to each side of the equation. 15 + -15 + 1.5n = 0.0 + -15 Combine like terms: 15 + -15 = 0 0 + 1.5n = 0.0 + -15 1.5n = 0.0 + -15 Combine like terms: 0.0 + -15 = -15 1.5n = -15 Divide each side by '1.5'. n = -10 Simplifying n = -10
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