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Simplifying 7.8 = 3 + 0.1n + 0.7n Combine like terms: 0.1n + 0.7n = 0.8n 7.8 = 3 + 0.8n Solving 7.8 = 3 + 0.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.8n' to each side of the equation. 7.8 + -0.8n = 3 + 0.8n + -0.8n Combine like terms: 0.8n + -0.8n = 0.0 7.8 + -0.8n = 3 + 0.0 7.8 + -0.8n = 3 Add '-7.8' to each side of the equation. 7.8 + -7.8 + -0.8n = 3 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -0.8n = 3 + -7.8 -0.8n = 3 + -7.8 Combine like terms: 3 + -7.8 = -4.8 -0.8n = -4.8 Divide each side by '-0.8'. n = 6 Simplifying n = 6
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