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Simplifying 21.3n + -8.1n + 2.2n + -28.5 = 1.6(n + 5n) + -5.3 Reorder the terms: -28.5 + 21.3n + -8.1n + 2.2n = 1.6(n + 5n) + -5.3 Combine like terms: 21.3n + -8.1n = 13.2n -28.5 + 13.2n + 2.2n = 1.6(n + 5n) + -5.3 Combine like terms: 13.2n + 2.2n = 15.4n -28.5 + 15.4n = 1.6(n + 5n) + -5.3 Combine like terms: n + 5n = 6n -28.5 + 15.4n = 1.6(6n) + -5.3 Remove parenthesis around (6n) -28.5 + 15.4n = 1.6 * 6n + -5.3 Multiply 1.6 * 6 -28.5 + 15.4n = 9.6n + -5.3 Reorder the terms: -28.5 + 15.4n = -5.3 + 9.6n Solving -28.5 + 15.4n = -5.3 + 9.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9.6n' to each side of the equation. -28.5 + 15.4n + -9.6n = -5.3 + 9.6n + -9.6n Combine like terms: 15.4n + -9.6n = 5.8n -28.5 + 5.8n = -5.3 + 9.6n + -9.6n Combine like terms: 9.6n + -9.6n = 0.0 -28.5 + 5.8n = -5.3 + 0.0 -28.5 + 5.8n = -5.3 Add '28.5' to each side of the equation. -28.5 + 28.5 + 5.8n = -5.3 + 28.5 Combine like terms: -28.5 + 28.5 = 0.0 0.0 + 5.8n = -5.3 + 28.5 5.8n = -5.3 + 28.5 Combine like terms: -5.3 + 28.5 = 23.2 5.8n = 23.2 Divide each side by '5.8'. n = 4 Simplifying n = 4
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