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Simplifying 5 + n = 2 + -8(n + 3) Reorder the terms: 5 + n = 2 + -8(3 + n) 5 + n = 2 + (3 * -8 + n * -8) 5 + n = 2 + (-24 + -8n) Combine like terms: 2 + -24 = -22 5 + n = -22 + -8n Solving 5 + n = -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. 5 + n + 8n = -22 + -8n + 8n Combine like terms: n + 8n = 9n 5 + 9n = -22 + -8n + 8n Combine like terms: -8n + 8n = 0 5 + 9n = -22 + 0 5 + 9n = -22 Add '-5' to each side of the equation. 5 + -5 + 9n = -22 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = -22 + -5 9n = -22 + -5 Combine like terms: -22 + -5 = -27 9n = -27 Divide each side by '9'. n = -3 Simplifying n = -3
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