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Simplifying 1.5(n + 30) = 0.5(3n + 60) Reorder the terms: 1.5(30 + n) = 0.5(3n + 60) (30 * 1.5 + n * 1.5) = 0.5(3n + 60) (45 + 1.5n) = 0.5(3n + 60) Reorder the terms: 45 + 1.5n = 0.5(60 + 3n) 45 + 1.5n = (60 * 0.5 + 3n * 0.5) 45 + 1.5n = (30 + 1.5n) Add '-1.5n' to each side of the equation. 45 + 1.5n + -1.5n = 30 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 45 + 0.0 = 30 + 1.5n + -1.5n 45 = 30 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 45 = 30 + 0.0 45 = 30 Solving 45 = 30 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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