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Simplifying -6.3(1 + -0.2n) + 1.4n = -6.7(1.6 + -4n) (1 * -6.3 + -0.2n * -6.3) + 1.4n = -6.7(1.6 + -4n) (-6.3 + 1.26n) + 1.4n = -6.7(1.6 + -4n) Combine like terms: 1.26n + 1.4n = 2.66n -6.3 + 2.66n = -6.7(1.6 + -4n) -6.3 + 2.66n = (1.6 * -6.7 + -4n * -6.7) -6.3 + 2.66n = (-10.72 + 26.8n) Solving -6.3 + 2.66n = -10.72 + 26.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26.8n' to each side of the equation. -6.3 + 2.66n + -26.8n = -10.72 + 26.8n + -26.8n Combine like terms: 2.66n + -26.8n = -24.14n -6.3 + -24.14n = -10.72 + 26.8n + -26.8n Combine like terms: 26.8n + -26.8n = 0.0 -6.3 + -24.14n = -10.72 + 0.0 -6.3 + -24.14n = -10.72 Add '6.3' to each side of the equation. -6.3 + 6.3 + -24.14n = -10.72 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + -24.14n = -10.72 + 6.3 -24.14n = -10.72 + 6.3 Combine like terms: -10.72 + 6.3 = -4.42 -24.14n = -4.42 Divide each side by '-24.14'. n = 0.1830985915 Simplifying n = 0.1830985915
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