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Simplifying -13.73 + 16.3n = -14.5n + 18.52 + 9.3n Reorder the terms: -13.73 + 16.3n = 18.52 + -14.5n + 9.3n Combine like terms: -14.5n + 9.3n = -5.2n -13.73 + 16.3n = 18.52 + -5.2n Solving -13.73 + 16.3n = 18.52 + -5.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5.2n' to each side of the equation. -13.73 + 16.3n + 5.2n = 18.52 + -5.2n + 5.2n Combine like terms: 16.3n + 5.2n = 21.5n -13.73 + 21.5n = 18.52 + -5.2n + 5.2n Combine like terms: -5.2n + 5.2n = 0.0 -13.73 + 21.5n = 18.52 + 0.0 -13.73 + 21.5n = 18.52 Add '13.73' to each side of the equation. -13.73 + 13.73 + 21.5n = 18.52 + 13.73 Combine like terms: -13.73 + 13.73 = 0.00 0.00 + 21.5n = 18.52 + 13.73 21.5n = 18.52 + 13.73 Combine like terms: 18.52 + 13.73 = 32.25 21.5n = 32.25 Divide each side by '21.5'. n = 1.5 Simplifying n = 1.5
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