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Simplifying -151.065 = 6.8n + 6.1(8 + 3.5n) -151.065 = 6.8n + (8 * 6.1 + 3.5n * 6.1) -151.065 = 6.8n + (48.8 + 21.35n) Reorder the terms: -151.065 = 48.8 + 6.8n + 21.35n Combine like terms: 6.8n + 21.35n = 28.15n -151.065 = 48.8 + 28.15n Solving -151.065 = 48.8 + 28.15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28.15n' to each side of the equation. -151.065 + -28.15n = 48.8 + 28.15n + -28.15n Combine like terms: 28.15n + -28.15n = 0.00 -151.065 + -28.15n = 48.8 + 0.00 -151.065 + -28.15n = 48.8 Add '151.065' to each side of the equation. -151.065 + 151.065 + -28.15n = 48.8 + 151.065 Combine like terms: -151.065 + 151.065 = 0.000 0.000 + -28.15n = 48.8 + 151.065 -28.15n = 48.8 + 151.065 Combine like terms: 48.8 + 151.065 = 199.865 -28.15n = 199.865 Divide each side by '-28.15'. n = -7.1 Simplifying n = -7.1
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