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Simplifying 0.2(3n + 4) + -5 = 2.2(4 + -2n) + -3.4 Reorder the terms: 0.2(4 + 3n) + -5 = 2.2(4 + -2n) + -3.4 (4 * 0.2 + 3n * 0.2) + -5 = 2.2(4 + -2n) + -3.4 (0.8 + 0.6n) + -5 = 2.2(4 + -2n) + -3.4 Reorder the terms: 0.8 + -5 + 0.6n = 2.2(4 + -2n) + -3.4 Combine like terms: 0.8 + -5 = -4.2 -4.2 + 0.6n = 2.2(4 + -2n) + -3.4 -4.2 + 0.6n = (4 * 2.2 + -2n * 2.2) + -3.4 -4.2 + 0.6n = (8.8 + -4.4n) + -3.4 Reorder the terms: -4.2 + 0.6n = 8.8 + -3.4 + -4.4n Combine like terms: 8.8 + -3.4 = 5.4 -4.2 + 0.6n = 5.4 + -4.4n Solving -4.2 + 0.6n = 5.4 + -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. -4.2 + 0.6n + 4.4n = 5.4 + -4.4n + 4.4n Combine like terms: 0.6n + 4.4n = 5n -4.2 + 5n = 5.4 + -4.4n + 4.4n Combine like terms: -4.4n + 4.4n = 0.0 -4.2 + 5n = 5.4 + 0.0 -4.2 + 5n = 5.4 Add '4.2' to each side of the equation. -4.2 + 4.2 + 5n = 5.4 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 5n = 5.4 + 4.2 5n = 5.4 + 4.2 Combine like terms: 5.4 + 4.2 = 9.6 5n = 9.6 Divide each side by '5'. n = 1.92 Simplifying n = 1.92
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