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Simplifying 1.1(0.3 + -1n) = 6(0.5 + -0.2n) (0.3 * 1.1 + -1n * 1.1) = 6(0.5 + -0.2n) (0.33 + -1.1n) = 6(0.5 + -0.2n) 0.33 + -1.1n = (0.5 * 6 + -0.2n * 6) 0.33 + -1.1n = (3 + -1.2n) Solving 0.33 + -1.1n = 3 + -1.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.2n' to each side of the equation. 0.33 + -1.1n + 1.2n = 3 + -1.2n + 1.2n Combine like terms: -1.1n + 1.2n = 0.1n 0.33 + 0.1n = 3 + -1.2n + 1.2n Combine like terms: -1.2n + 1.2n = 0.0 0.33 + 0.1n = 3 + 0.0 0.33 + 0.1n = 3 Add '-0.33' to each side of the equation. 0.33 + -0.33 + 0.1n = 3 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + 0.1n = 3 + -0.33 0.1n = 3 + -0.33 Combine like terms: 3 + -0.33 = 2.67 0.1n = 2.67 Divide each side by '0.1'. n = 26.7 Simplifying n = 26.7
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