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Simplifying 2.25n + 5 = 13.5n + 14 Reorder the terms: 5 + 2.25n = 13.5n + 14 Reorder the terms: 5 + 2.25n = 14 + 13.5n Solving 5 + 2.25n = 14 + 13.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13.5n' to each side of the equation. 5 + 2.25n + -13.5n = 14 + 13.5n + -13.5n Combine like terms: 2.25n + -13.5n = -11.25n 5 + -11.25n = 14 + 13.5n + -13.5n Combine like terms: 13.5n + -13.5n = 0.0 5 + -11.25n = 14 + 0.0 5 + -11.25n = 14 Add '-5' to each side of the equation. 5 + -5 + -11.25n = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -11.25n = 14 + -5 -11.25n = 14 + -5 Combine like terms: 14 + -5 = 9 -11.25n = 9 Divide each side by '-11.25'. n = -0.8 Simplifying n = -0.8
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