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Simplifying -1(n + -6) = -22 + -8n Reorder the terms: -1(-6 + n) = -22 + -8n (-6 * -1 + n * -1) = -22 + -8n (6 + -1n) = -22 + -8n Solving 6 + -1n = -22 + -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 + -1n + 8n = -22 + -8n + 8n Combine like terms: -1n + 8n = 7n 6 + 7n = -22 + -8n + 8n Combine like terms: -8n + 8n = 0 6 + 7n = -22 + 0 6 + 7n = -22 Add '-6' to each side of the equation. 6 + -6 + 7n = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = -22 + -6 7n = -22 + -6 Combine like terms: -22 + -6 = -28 7n = -28 Divide each side by '7'. n = -4 Simplifying n = -4
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