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Simplifying 8n + -8 + 5n = -2(1 + -4n) + 2(x + 6) Reorder the terms: -8 + 8n + 5n = -2(1 + -4n) + 2(x + 6) Combine like terms: 8n + 5n = 13n -8 + 13n = -2(1 + -4n) + 2(x + 6) -8 + 13n = (1 * -2 + -4n * -2) + 2(x + 6) -8 + 13n = (-2 + 8n) + 2(x + 6) Reorder the terms: -8 + 13n = -2 + 8n + 2(6 + x) -8 + 13n = -2 + 8n + (6 * 2 + x * 2) -8 + 13n = -2 + 8n + (12 + 2x) Reorder the terms: -8 + 13n = -2 + 12 + 8n + 2x Combine like terms: -2 + 12 = 10 -8 + 13n = 10 + 8n + 2x Solving -8 + 13n = 10 + 8n + 2x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 13n + -8n = 10 + 8n + -8n + 2x Combine like terms: 13n + -8n = 5n -8 + 5n = 10 + 8n + -8n + 2x Combine like terms: 8n + -8n = 0 -8 + 5n = 10 + 0 + 2x -8 + 5n = 10 + 2x Add '8' to each side of the equation. -8 + 8 + 5n = 10 + 8 + 2x Combine like terms: -8 + 8 = 0 0 + 5n = 10 + 8 + 2x 5n = 10 + 8 + 2x Combine like terms: 10 + 8 = 18 5n = 18 + 2x Divide each side by '5'. n = 3.6 + 0.4x Simplifying n = 3.6 + 0.4x
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