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Simplifying -7(n + 6) = 38 + -8n Reorder the terms: -7(6 + n) = 38 + -8n (6 * -7 + n * -7) = 38 + -8n (-42 + -7n) = 38 + -8n Solving -42 + -7n = 38 + -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 = 38 + -8n + 8n Combine like terms: -7n + 8n = 1n -42 + 1n = 38 + -8n + 8n Combine like terms: -8n + 8n = 0 -42 + 1n = 38 + 0 -42 + 1n = 38 Add '42' to each side of the equation. -42 + 42 + 1n = 38 + 42 Combine like terms: -42 + 42 = 0 0 + 1n = 38 + 42 1n = 38 + 42 Combine like terms: 38 + 42 = 80 1n = 80 Divide each side by '1'. n = 80 Simplifying n = 80
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