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Simplifying -7(n + 6) = -8n Reorder the terms: -7(6 + n) = -8n (6 * -7 + n * -7) = -8n (-42 + -7n) = -8n Solving -42 + -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. -42 + -7n + 8n = -8n + 8n Combine like terms: -7n + 8n = 1n -42 + 1n = -8n + 8n Combine like terms: -8n + 8n = 0 -42 + 1n = 0 Add '42' to each side of the equation. -42 + 42 + 1n = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 1n = 0 + 42 1n = 0 + 42 Combine like terms: 0 + 42 = 42 1n = 42 Divide each side by '1'. n = 42 Simplifying n = 42
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