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Simplifying 0.05 + 2.7(3n + -0.3) = 4.3n Reorder the terms: 0.05 + 2.7(-0.3 + 3n) = 4.3n 0.05 + (-0.3 * 2.7 + 3n * 2.7) = 4.3n 0.05 + (-0.81 + 8.1n) = 4.3n Combine like terms: 0.05 + -0.81 = -0.76 -0.76 + 8.1n = 4.3n Solving -0.76 + 8.1n = 4.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.3n' to each side of the equation. -0.76 + 8.1n + -4.3n = 4.3n + -4.3n Combine like terms: 8.1n + -4.3n = 3.8n -0.76 + 3.8n = 4.3n + -4.3n Combine like terms: 4.3n + -4.3n = 0.0 -0.76 + 3.8n = 0.0 Add '0.76' to each side of the equation. -0.76 + 0.76 + 3.8n = 0.0 + 0.76 Combine like terms: -0.76 + 0.76 = 0.00 0.00 + 3.8n = 0.0 + 0.76 3.8n = 0.0 + 0.76 Combine like terms: 0.0 + 0.76 = 0.76 3.8n = 0.76 Divide each side by '3.8'. n = 0.2 Simplifying n = 0.2
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