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Simplifying 7(-6 + 2n) = 2 + -8n (-6 * 7 + 2n * 7) = 2 + -8n (-42 + 14n) = 2 + -8n Solving -42 + 14n = 2 + -8n 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. -42 + 14n + 8n = 2 + -8n + 8n Combine like terms: 14n + 8n = 22n -42 + 22n = 2 + -8n + 8n Combine like terms: -8n + 8n = 0 -42 + 22n = 2 + 0 -42 + 22n = 2 Add '42' to each side of the equation. -42 + 42 + 22n = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 22n = 2 + 42 22n = 2 + 42 Combine like terms: 2 + 42 = 44 22n = 44 Divide each side by '22'. n = 2 Simplifying n = 2
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