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Simplifying -6(n + 5) = -8n + -16 Reorder the terms: -6(5 + n) = -8n + -16 (5 * -6 + n * -6) = -8n + -16 (-30 + -6n) = -8n + -16 Reorder the terms: -30 + -6n = -16 + -8n Solving -30 + -6n = -16 + -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. -30 + -6n + 8n = -16 + -8n + 8n Combine like terms: -6n + 8n = 2n -30 + 2n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 -30 + 2n = -16 + 0 -30 + 2n = -16 Add '30' to each side of the equation. -30 + 30 + 2n = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 2n = -16 + 30 2n = -16 + 30 Combine like terms: -16 + 30 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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