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Simplifying 5n + 5 = -2(4n + -9) Reorder the terms: 5 + 5n = -2(4n + -9) Reorder the terms: 5 + 5n = -2(-9 + 4n) 5 + 5n = (-9 * -2 + 4n * -2) 5 + 5n = (18 + -8n) Solving 5 + 5n = 18 + -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 + 5n + 8n = 18 + -8n + 8n Combine like terms: 5n + 8n = 13n 5 + 13n = 18 + -8n + 8n Combine like terms: -8n + 8n = 0 5 + 13n = 18 + 0 5 + 13n = 18 Add '-5' to each side of the equation. 5 + -5 + 13n = 18 + -5 Combine like terms: 5 + -5 = 0 0 + 13n = 18 + -5 13n = 18 + -5 Combine like terms: 18 + -5 = 13 13n = 13 Divide each side by '13'. n = 1 Simplifying n = 1
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