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Simplifying -14.2 = 0.4(20n + -7.8) Reorder the terms: -14.2 = 0.4(-7.8 + 20n) -14.2 = (-7.8 * 0.4 + 20n * 0.4) -14.2 = (-3.12 + 8n) Solving -14.2 = -3.12 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -14.2 + -8n = -3.12 + 8n + -8n Combine like terms: 8n + -8n = 0 -14.2 + -8n = -3.12 + 0 -14.2 + -8n = -3.12 Add '14.2' to each side of the equation. -14.2 + 14.2 + -8n = -3.12 + 14.2 Combine like terms: -14.2 + 14.2 = 0.0 0.0 + -8n = -3.12 + 14.2 -8n = -3.12 + 14.2 Combine like terms: -3.12 + 14.2 = 11.08 -8n = 11.08 Divide each side by '-8'. n = -1.385 Simplifying n = -1.385
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