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Simplifying -1(n + 8) = -8n + 34 Reorder the terms: -1(8 + n) = -8n + 34 (8 * -1 + n * -1) = -8n + 34 (-8 + -1n) = -8n + 34 Reorder the terms: -8 + -1n = 34 + -8n Solving -8 + -1n = 34 + -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. -8 + -1n + 8n = 34 + -8n + 8n Combine like terms: -1n + 8n = 7n -8 + 7n = 34 + -8n + 8n Combine like terms: -8n + 8n = 0 -8 + 7n = 34 + 0 -8 + 7n = 34 Add '8' to each side of the equation. -8 + 8 + 7n = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 7n = 34 + 8 7n = 34 + 8 Combine like terms: 34 + 8 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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