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Simplifying 1.5 + 2.1 = 2.8n + -1.8n + 8.9 Combine like terms: 1.5 + 2.1 = 3.6 3.6 = 2.8n + -1.8n + 8.9 Reorder the terms: 3.6 = 8.9 + 2.8n + -1.8n Combine like terms: 2.8n + -1.8n = 1n 3.6 = 8.9 + 1n Solving 3.6 = 8.9 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 3.6 + -1n = 8.9 + 1n + -1n Combine like terms: 1n + -1n = 0 3.6 + -1n = 8.9 + 0 3.6 + -1n = 8.9 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -1n = 8.9 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -1n = 8.9 + -3.6 -1n = 8.9 + -3.6 Combine like terms: 8.9 + -3.6 = 5.3 -1n = 5.3 Divide each side by '-1'. n = -5.3 Simplifying n = -5.3
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