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Simplifying 6(n + 1) = -4 + 8n Reorder the terms: 6(1 + n) = -4 + 8n (1 * 6 + n * 6) = -4 + 8n (6 + 6n) = -4 + 8n Solving 6 + 6n = -4 + 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. 6 + 6n + -8n = -4 + 8n + -8n Combine like terms: 6n + -8n = -2n 6 + -2n = -4 + 8n + -8n Combine like terms: 8n + -8n = 0 6 + -2n = -4 + 0 6 + -2n = -4 Add '-6' to each side of the equation. 6 + -6 + -2n = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = -4 + -6 -2n = -4 + -6 Combine like terms: -4 + -6 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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