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Simplifying -19.53 + -2.1n = 15.08 + 2.4n + 5.89 Reorder the terms: -19.53 + -2.1n = 15.08 + 5.89 + 2.4n Combine like terms: 15.08 + 5.89 = 20.97 -19.53 + -2.1n = 20.97 + 2.4n Solving -19.53 + -2.1n = 20.97 + 2.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.4n' to each side of the equation. -19.53 + -2.1n + -2.4n = 20.97 + 2.4n + -2.4n Combine like terms: -2.1n + -2.4n = -4.5n -19.53 + -4.5n = 20.97 + 2.4n + -2.4n Combine like terms: 2.4n + -2.4n = 0.0 -19.53 + -4.5n = 20.97 + 0.0 -19.53 + -4.5n = 20.97 Add '19.53' to each side of the equation. -19.53 + 19.53 + -4.5n = 20.97 + 19.53 Combine like terms: -19.53 + 19.53 = 0.00 0.00 + -4.5n = 20.97 + 19.53 -4.5n = 20.97 + 19.53 Combine like terms: 20.97 + 19.53 = 40.5 -4.5n = 40.5 Divide each side by '-4.5'. n = -9 Simplifying n = -9
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