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Simplifying 1.5(n + 20) = 5(a + 5) Reorder the terms: 1.5(20 + n) = 5(a + 5) (20 * 1.5 + n * 1.5) = 5(a + 5) (30 + 1.5n) = 5(a + 5) Reorder the terms: 30 + 1.5n = 5(5 + a) 30 + 1.5n = (5 * 5 + a * 5) 30 + 1.5n = (25 + 5a) Solving 30 + 1.5n = 25 + 5a Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1.5n = 25 + -30 + 5a Combine like terms: 30 + -30 = 0 0 + 1.5n = 25 + -30 + 5a 1.5n = 25 + -30 + 5a Combine like terms: 25 + -30 = -5 1.5n = -5 + 5a Divide each side by '1.5'. n = -3.333333333 + 3.333333333a Simplifying n = -3.333333333 + 3.333333333a
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