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Simplifying 0.8n + -6.9 = 8 + 4.2n Reorder the terms: -6.9 + 0.8n = 8 + 4.2n Solving -6.9 + 0.8n = 8 + 4.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.2n' to each side of the equation. -6.9 + 0.8n + -4.2n = 8 + 4.2n + -4.2n Combine like terms: 0.8n + -4.2n = -3.4n -6.9 + -3.4n = 8 + 4.2n + -4.2n Combine like terms: 4.2n + -4.2n = 0.0 -6.9 + -3.4n = 8 + 0.0 -6.9 + -3.4n = 8 Add '6.9' to each side of the equation. -6.9 + 6.9 + -3.4n = 8 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + -3.4n = 8 + 6.9 -3.4n = 8 + 6.9 Combine like terms: 8 + 6.9 = 14.9 -3.4n = 14.9 Divide each side by '-3.4'. n = -4.382352941 Simplifying n = -4.382352941
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