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Simplifying -19.77(-18n + -29) = 19.77(3n + 38) Reorder the terms: -19.77(-29 + -18n) = 19.77(3n + 38) (-29 * -19.77 + -18n * -19.77) = 19.77(3n + 38) (573.33 + 355.86n) = 19.77(3n + 38) Reorder the terms: 573.33 + 355.86n = 19.77(38 + 3n) 573.33 + 355.86n = (38 * 19.77 + 3n * 19.77) 573.33 + 355.86n = (751.26 + 59.31n) Solving 573.33 + 355.86n = 751.26 + 59.31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-59.31n' to each side of the equation. 573.33 + 355.86n + -59.31n = 751.26 + 59.31n + -59.31n Combine like terms: 355.86n + -59.31n = 296.55n 573.33 + 296.55n = 751.26 + 59.31n + -59.31n Combine like terms: 59.31n + -59.31n = 0.00 573.33 + 296.55n = 751.26 + 0.00 573.33 + 296.55n = 751.26 Add '-573.33' to each side of the equation. 573.33 + -573.33 + 296.55n = 751.26 + -573.33 Combine like terms: 573.33 + -573.33 = 0.00 0.00 + 296.55n = 751.26 + -573.33 296.55n = 751.26 + -573.33 Combine like terms: 751.26 + -573.33 = 177.93 296.55n = 177.93 Divide each side by '296.55'. n = 0.6 Simplifying n = 0.6
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