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Simplifying 14.2 = 0.4(20n + -7 + -8) Reorder the terms: 14.2 = 0.4(-7 + -8 + 20n) Combine like terms: -7 + -8 = -15 14.2 = 0.4(-15 + 20n) 14.2 = (-15 * 0.4 + 20n * 0.4) 14.2 = (-6 + 8n) Solving 14.2 = -6 + 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 = -6 + 8n + -8n Combine like terms: 8n + -8n = 0 14.2 + -8n = -6 + 0 14.2 + -8n = -6 Add '-14.2' to each side of the equation. 14.2 + -14.2 + -8n = -6 + -14.2 Combine like terms: 14.2 + -14.2 = 0.0 0.0 + -8n = -6 + -14.2 -8n = -6 + -14.2 Combine like terms: -6 + -14.2 = -20.2 -8n = -20.2 Divide each side by '-8'. n = 2.525 Simplifying n = 2.525
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