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Simplifying -6(n + 5) + 1 = -22 + -8n Reorder the terms: -6(5 + n) + 1 = -22 + -8n (5 * -6 + n * -6) + 1 = -22 + -8n (-30 + -6n) + 1 = -22 + -8n Reorder the terms: -30 + 1 + -6n = -22 + -8n Combine like terms: -30 + 1 = -29 -29 + -6n = -22 + -8n Solving -29 + -6n = -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. -29 + -6n + 8n = -22 + -8n + 8n Combine like terms: -6n + 8n = 2n -29 + 2n = -22 + -8n + 8n Combine like terms: -8n + 8n = 0 -29 + 2n = -22 + 0 -29 + 2n = -22 Add '29' to each side of the equation. -29 + 29 + 2n = -22 + 29 Combine like terms: -29 + 29 = 0 0 + 2n = -22 + 29 2n = -22 + 29 Combine like terms: -22 + 29 = 7 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5
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