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Simplifying 2.9n + -6.2 = 45.4 + 7.8n Reorder the terms: -6.2 + 2.9n = 45.4 + 7.8n Solving -6.2 + 2.9n = 45.4 + 7.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.8n' to each side of the equation. -6.2 + 2.9n + -7.8n = 45.4 + 7.8n + -7.8n Combine like terms: 2.9n + -7.8n = -4.9n -6.2 + -4.9n = 45.4 + 7.8n + -7.8n Combine like terms: 7.8n + -7.8n = 0.0 -6.2 + -4.9n = 45.4 + 0.0 -6.2 + -4.9n = 45.4 Add '6.2' to each side of the equation. -6.2 + 6.2 + -4.9n = 45.4 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + -4.9n = 45.4 + 6.2 -4.9n = 45.4 + 6.2 Combine like terms: 45.4 + 6.2 = 51.6 -4.9n = 51.6 Divide each side by '-4.9'. n = -10.53061224 Simplifying n = -10.53061224
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