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Simplifying -6.8n + -1.7n + -2.12 = 10.62 + -7.8n Reorder the terms: -2.12 + -6.8n + -1.7n = 10.62 + -7.8n Combine like terms: -6.8n + -1.7n = -8.5n -2.12 + -8.5n = 10.62 + -7.8n Solving -2.12 + -8.5n = 10.62 + -7.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7.8n' to each side of the equation. -2.12 + -8.5n + 7.8n = 10.62 + -7.8n + 7.8n Combine like terms: -8.5n + 7.8n = -0.7n -2.12 + -0.7n = 10.62 + -7.8n + 7.8n Combine like terms: -7.8n + 7.8n = 0.0 -2.12 + -0.7n = 10.62 + 0.0 -2.12 + -0.7n = 10.62 Add '2.12' to each side of the equation. -2.12 + 2.12 + -0.7n = 10.62 + 2.12 Combine like terms: -2.12 + 2.12 = 0.00 0.00 + -0.7n = 10.62 + 2.12 -0.7n = 10.62 + 2.12 Combine like terms: 10.62 + 2.12 = 12.74 -0.7n = 12.74 Divide each side by '-0.7'. n = -18.2 Simplifying n = -18.2
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