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Simplifying -1.9n + 11.37 = 0.8(17 + -3n) Reorder the terms: 11.37 + -1.9n = 0.8(17 + -3n) 11.37 + -1.9n = (17 * 0.8 + -3n * 0.8) 11.37 + -1.9n = (13.6 + -2.4n) Solving 11.37 + -1.9n = 13.6 + -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. 11.37 + -1.9n + 2.4n = 13.6 + -2.4n + 2.4n Combine like terms: -1.9n + 2.4n = 0.5n 11.37 + 0.5n = 13.6 + -2.4n + 2.4n Combine like terms: -2.4n + 2.4n = 0.0 11.37 + 0.5n = 13.6 + 0.0 11.37 + 0.5n = 13.6 Add '-11.37' to each side of the equation. 11.37 + -11.37 + 0.5n = 13.6 + -11.37 Combine like terms: 11.37 + -11.37 = 0.00 0.00 + 0.5n = 13.6 + -11.37 0.5n = 13.6 + -11.37 Combine like terms: 13.6 + -11.37 = 2.23 0.5n = 2.23 Divide each side by '0.5'. n = 4.46 Simplifying n = 4.46
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