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Simplifying 1.5(n + 20) = 0.5n + 20 Reorder the terms: 1.5(20 + n) = 0.5n + 20 (20 * 1.5 + n * 1.5) = 0.5n + 20 (30 + 1.5n) = 0.5n + 20 Reorder the terms: 30 + 1.5n = 20 + 0.5n Solving 30 + 1.5n = 20 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 30 + 1.5n + -0.5n = 20 + 0.5n + -0.5n Combine like terms: 1.5n + -0.5n = 1n 30 + 1n = 20 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 30 + 1n = 20 + 0.0 30 + 1n = 20 Add '-30' to each side of the equation. 30 + -30 + 1n = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 1n = 20 + -30 1n = 20 + -30 Combine like terms: 20 + -30 = -10 1n = -10 Divide each side by '1'. n = -10 Simplifying n = -10
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