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Simplifying 3n + 5(n + -2) = 3n + 8(2 + -1n) Reorder the terms: 3n + 5(-2 + n) = 3n + 8(2 + -1n) 3n + (-2 * 5 + n * 5) = 3n + 8(2 + -1n) 3n + (-10 + 5n) = 3n + 8(2 + -1n) Reorder the terms: -10 + 3n + 5n = 3n + 8(2 + -1n) Combine like terms: 3n + 5n = 8n -10 + 8n = 3n + 8(2 + -1n) -10 + 8n = 3n + (2 * 8 + -1n * 8) -10 + 8n = 3n + (16 + -8n) Reorder the terms: -10 + 8n = 16 + 3n + -8n Combine like terms: 3n + -8n = -5n -10 + 8n = 16 + -5n Solving -10 + 8n = 16 + -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. -10 + 8n + 5n = 16 + -5n + 5n Combine like terms: 8n + 5n = 13n -10 + 13n = 16 + -5n + 5n Combine like terms: -5n + 5n = 0 -10 + 13n = 16 + 0 -10 + 13n = 16 Add '10' to each side of the equation. -10 + 10 + 13n = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 13n = 16 + 10 13n = 16 + 10 Combine like terms: 16 + 10 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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