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Simplifying 14(0.03n + 0.31) = 5.18 + -1(0.4 + -4.22n) Reorder the terms: 14(0.31 + 0.03n) = 5.18 + -1(0.4 + -4.22n) (0.31 * 14 + 0.03n * 14) = 5.18 + -1(0.4 + -4.22n) (4.34 + 0.42n) = 5.18 + -1(0.4 + -4.22n) 4.34 + 0.42n = 5.18 + (0.4 * -1 + -4.22n * -1) 4.34 + 0.42n = 5.18 + (-0.4 + 4.22n) Combine like terms: 5.18 + -0.4 = 4.78 4.34 + 0.42n = 4.78 + 4.22n Solving 4.34 + 0.42n = 4.78 + 4.22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.22n' to each side of the equation. 4.34 + 0.42n + -4.22n = 4.78 + 4.22n + -4.22n Combine like terms: 0.42n + -4.22n = -3.8n 4.34 + -3.8n = 4.78 + 4.22n + -4.22n Combine like terms: 4.22n + -4.22n = 0.00 4.34 + -3.8n = 4.78 + 0.00 4.34 + -3.8n = 4.78 Add '-4.34' to each side of the equation. 4.34 + -4.34 + -3.8n = 4.78 + -4.34 Combine like terms: 4.34 + -4.34 = 0.00 0.00 + -3.8n = 4.78 + -4.34 -3.8n = 4.78 + -4.34 Combine like terms: 4.78 + -4.34 = 0.44 -3.8n = 0.44 Divide each side by '-3.8'. n = -0.1157894737 Simplifying n = -0.1157894737
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