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Simplifying 7(1.8n + -4) + 13 + -5.2 = 0 Reorder the terms: 7(-4 + 1.8n) + 13 + -5.2 = 0 (-4 * 7 + 1.8n * 7) + 13 + -5.2 = 0 (-28 + 12.6n) + 13 + -5.2 = 0 Reorder the terms: -28 + 13 + -5.2 + 12.6n = 0 Combine like terms: -28 + 13 = -15 -15 + -5.2 + 12.6n = 0 Combine like terms: -15 + -5.2 = -20.2 -20.2 + 12.6n = 0 Solving -20.2 + 12.6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20.2' to each side of the equation. -20.2 + 20.2 + 12.6n = 0 + 20.2 Combine like terms: -20.2 + 20.2 = 0.0 0.0 + 12.6n = 0 + 20.2 12.6n = 0 + 20.2 Combine like terms: 0 + 20.2 = 20.2 12.6n = 20.2 Divide each side by '12.6'. n = 1.603174603 Simplifying n = 1.603174603
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