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Simplifying 3n + 5(n + -2) = 3(n + -5) Reorder the terms: 3n + 5(-2 + n) = 3(n + -5) 3n + (-2 * 5 + n * 5) = 3(n + -5) 3n + (-10 + 5n) = 3(n + -5) Reorder the terms: -10 + 3n + 5n = 3(n + -5) Combine like terms: 3n + 5n = 8n -10 + 8n = 3(n + -5) Reorder the terms: -10 + 8n = 3(-5 + n) -10 + 8n = (-5 * 3 + n * 3) -10 + 8n = (-15 + 3n) Solving -10 + 8n = -15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -10 + 8n + -3n = -15 + 3n + -3n Combine like terms: 8n + -3n = 5n -10 + 5n = -15 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 5n = -15 + 0 -10 + 5n = -15 Add '10' to each side of the equation. -10 + 10 + 5n = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = -15 + 10 5n = -15 + 10 Combine like terms: -15 + 10 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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