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Simplifying -8.1 + -0.3 = 7.8n + -6.8n + -2.7 Combine like terms: -8.1 + -0.3 = -8.4 -8.4 = 7.8n + -6.8n + -2.7 Reorder the terms: -8.4 = -2.7 + 7.8n + -6.8n Combine like terms: 7.8n + -6.8n = 1n -8.4 = -2.7 + 1n Solving -8.4 = -2.7 + 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. -8.4 + -1n = -2.7 + 1n + -1n Combine like terms: 1n + -1n = 0 -8.4 + -1n = -2.7 + 0 -8.4 + -1n = -2.7 Add '8.4' to each side of the equation. -8.4 + 8.4 + -1n = -2.7 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + -1n = -2.7 + 8.4 -1n = -2.7 + 8.4 Combine like terms: -2.7 + 8.4 = 5.7 -1n = 5.7 Divide each side by '-1'. n = -5.7 Simplifying n = -5.7
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