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