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Simplifying -6n + 2 = 8n + 2(1 + 4n) Reorder the terms: 2 + -6n = 8n + 2(1 + 4n) 2 + -6n = 8n + (1 * 2 + 4n * 2) 2 + -6n = 8n + (2 + 8n) Reorder the terms: 2 + -6n = 2 + 8n + 8n Combine like terms: 8n + 8n = 16n 2 + -6n = 2 + 16n Add '-2' to each side of the equation. 2 + -2 + -6n = 2 + -2 + 16n Combine like terms: 2 + -2 = 0 0 + -6n = 2 + -2 + 16n -6n = 2 + -2 + 16n Combine like terms: 2 + -2 = 0 -6n = 0 + 16n -6n = 16n Solving -6n = 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -6n + -16n = 16n + -16n Combine like terms: -6n + -16n = -22n -22n = 16n + -16n Combine like terms: 16n + -16n = 0 -22n = 0 Divide each side by '-22'. n = 0 Simplifying n = 0
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