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