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Simplifying 4(n + 8) + -13 = (-1)(4n + 5) Reorder the terms: 4(8 + n) + -13 = (-1)(4n + 5) (8 * 4 + n * 4) + -13 = (-1)(4n + 5) (32 + 4n) + -13 = (-1)(4n + 5) Reorder the terms: 32 + -13 + 4n = (-1)(4n + 5) Combine like terms: 32 + -13 = 19 19 + 4n = (-1)(4n + 5) Reorder the terms: 19 + 4n = -1(5 + 4n) 19 + 4n = (5 * -1 + 4n * -1) 19 + 4n = (-5 + -4n) Solving 19 + 4n = -5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 19 + 4n + 4n = -5 + -4n + 4n Combine like terms: 4n + 4n = 8n 19 + 8n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 19 + 8n = -5 + 0 19 + 8n = -5 Add '-19' to each side of the equation. 19 + -19 + 8n = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 8n = -5 + -19 8n = -5 + -19 Combine like terms: -5 + -19 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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