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Simplifying 4(2n + -5) = 2(3n + -10) Reorder the terms: 4(-5 + 2n) = 2(3n + -10) (-5 * 4 + 2n * 4) = 2(3n + -10) (-20 + 8n) = 2(3n + -10) Reorder the terms: -20 + 8n = 2(-10 + 3n) -20 + 8n = (-10 * 2 + 3n * 2) -20 + 8n = (-20 + 6n) Add '20' to each side of the equation. -20 + 20 + 8n = -20 + 20 + 6n Combine like terms: -20 + 20 = 0 0 + 8n = -20 + 20 + 6n 8n = -20 + 20 + 6n Combine like terms: -20 + 20 = 0 8n = 0 + 6n 8n = 6n Solving 8n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 8n + -6n = 6n + -6n Combine like terms: 8n + -6n = 2n 2n = 6n + -6n Combine like terms: 6n + -6n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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