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Simplifying 2(13.5n + 19.96) + -18n = -6.7n + -19.04 + 2.3n Reorder the terms: 2(19.96 + 13.5n) + -18n = -6.7n + -19.04 + 2.3n (19.96 * 2 + 13.5n * 2) + -18n = -6.7n + -19.04 + 2.3n (39.92 + 27n) + -18n = -6.7n + -19.04 + 2.3n Combine like terms: 27n + -18n = 9n 39.92 + 9n = -6.7n + -19.04 + 2.3n Reorder the terms: 39.92 + 9n = -19.04 + -6.7n + 2.3n Combine like terms: -6.7n + 2.3n = -4.4n 39.92 + 9n = -19.04 + -4.4n Solving 39.92 + 9n = -19.04 + -4.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4.4n' to each side of the equation. 39.92 + 9n + 4.4n = -19.04 + -4.4n + 4.4n Combine like terms: 9n + 4.4n = 13.4n 39.92 + 13.4n = -19.04 + -4.4n + 4.4n Combine like terms: -4.4n + 4.4n = 0.0 39.92 + 13.4n = -19.04 + 0.0 39.92 + 13.4n = -19.04 Add '-39.92' to each side of the equation. 39.92 + -39.92 + 13.4n = -19.04 + -39.92 Combine like terms: 39.92 + -39.92 = 0.00 0.00 + 13.4n = -19.04 + -39.92 13.4n = -19.04 + -39.92 Combine like terms: -19.04 + -39.92 = -58.96 13.4n = -58.96 Divide each side by '13.4'. n = -4.4 Simplifying n = -4.4
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