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Simplifying 9.5(n + 2) = 4.4(1.5n + 12) + -1.9 Reorder the terms: 9.5(2 + n) = 4.4(1.5n + 12) + -1.9 (2 * 9.5 + n * 9.5) = 4.4(1.5n + 12) + -1.9 (19 + 9.5n) = 4.4(1.5n + 12) + -1.9 Reorder the terms: 19 + 9.5n = 4.4(12 + 1.5n) + -1.9 19 + 9.5n = (12 * 4.4 + 1.5n * 4.4) + -1.9 19 + 9.5n = (52.8 + 6.6n) + -1.9 Reorder the terms: 19 + 9.5n = 52.8 + -1.9 + 6.6n Combine like terms: 52.8 + -1.9 = 50.9 19 + 9.5n = 50.9 + 6.6n Solving 19 + 9.5n = 50.9 + 6.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.6n' to each side of the equation. 19 + 9.5n + -6.6n = 50.9 + 6.6n + -6.6n Combine like terms: 9.5n + -6.6n = 2.9n 19 + 2.9n = 50.9 + 6.6n + -6.6n Combine like terms: 6.6n + -6.6n = 0.0 19 + 2.9n = 50.9 + 0.0 19 + 2.9n = 50.9 Add '-19' to each side of the equation. 19 + -19 + 2.9n = 50.9 + -19 Combine like terms: 19 + -19 = 0 0 + 2.9n = 50.9 + -19 2.9n = 50.9 + -19 Combine like terms: 50.9 + -19 = 31.9 2.9n = 31.9 Divide each side by '2.9'. n = 11 Simplifying n = 11
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