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Simplifying -6(n + 1) = 8(1 + -1n) Reorder the terms: -6(1 + n) = 8(1 + -1n) (1 * -6 + n * -6) = 8(1 + -1n) (-6 + -6n) = 8(1 + -1n) -6 + -6n = (1 * 8 + -1n * 8) -6 + -6n = (8 + -8n) Solving -6 + -6n = 8 + -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 = 8 + -8n + 8n Combine like terms: -6n + 8n = 2n -6 + 2n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 -6 + 2n = 8 + 0 -6 + 2n = 8 Add '6' to each side of the equation. -6 + 6 + 2n = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 8 + 6 2n = 8 + 6 Combine like terms: 8 + 6 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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