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Simplifying 2 + -2n = 2 + -8(-6 + n) 2 + -2n = 2 + (-6 * -8 + n * -8) 2 + -2n = 2 + (48 + -8n) Combine like terms: 2 + 48 = 50 2 + -2n = 50 + -8n Solving 2 + -2n = 50 + -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. 2 + -2n + 8n = 50 + -8n + 8n Combine like terms: -2n + 8n = 6n 2 + 6n = 50 + -8n + 8n Combine like terms: -8n + 8n = 0 2 + 6n = 50 + 0 2 + 6n = 50 Add '-2' to each side of the equation. 2 + -2 + 6n = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 50 + -2 6n = 50 + -2 Combine like terms: 50 + -2 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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