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Simplifying 8(n + 3) = -14 + -5(n + -5) Reorder the terms: 8(3 + n) = -14 + -5(n + -5) (3 * 8 + n * 8) = -14 + -5(n + -5) (24 + 8n) = -14 + -5(n + -5) Reorder the terms: 24 + 8n = -14 + -5(-5 + n) 24 + 8n = -14 + (-5 * -5 + n * -5) 24 + 8n = -14 + (25 + -5n) Combine like terms: -14 + 25 = 11 24 + 8n = 11 + -5n Solving 24 + 8n = 11 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 24 + 8n + 5n = 11 + -5n + 5n Combine like terms: 8n + 5n = 13n 24 + 13n = 11 + -5n + 5n Combine like terms: -5n + 5n = 0 24 + 13n = 11 + 0 24 + 13n = 11 Add '-24' to each side of the equation. 24 + -24 + 13n = 11 + -24 Combine like terms: 24 + -24 = 0 0 + 13n = 11 + -24 13n = 11 + -24 Combine like terms: 11 + -24 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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