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Simplifying 3 + -1(n + 5) = -8n + -16 Reorder the terms: 3 + -1(5 + n) = -8n + -16 3 + (5 * -1 + n * -1) = -8n + -16 3 + (-5 + -1n) = -8n + -16 Combine like terms: 3 + -5 = -2 -2 + -1n = -8n + -16 Reorder the terms: -2 + -1n = -16 + -8n Solving -2 + -1n = -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. -2 + -1n + 8n = -16 + -8n + 8n Combine like terms: -1n + 8n = 7n -2 + 7n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 -2 + 7n = -16 + 0 -2 + 7n = -16 Add '2' to each side of the equation. -2 + 2 + 7n = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 7n = -16 + 2 7n = -16 + 2 Combine like terms: -16 + 2 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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