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Simplifying 4(2n + -5) = 2(3n + -4) Reorder the terms: 4(-5 + 2n) = 2(3n + -4) (-5 * 4 + 2n * 4) = 2(3n + -4) (-20 + 8n) = 2(3n + -4) Reorder the terms: -20 + 8n = 2(-4 + 3n) -20 + 8n = (-4 * 2 + 3n * 2) -20 + 8n = (-8 + 6n) Solving -20 + 8n = -8 + 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. -20 + 8n + -6n = -8 + 6n + -6n Combine like terms: 8n + -6n = 2n -20 + 2n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 -20 + 2n = -8 + 0 -20 + 2n = -8 Add '20' to each side of the equation. -20 + 20 + 2n = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 2n = -8 + 20 2n = -8 + 20 Combine like terms: -8 + 20 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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