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Simplifying 5(n + -4) + 8n = -4 + 5n Reorder the terms: 5(-4 + n) + 8n = -4 + 5n (-4 * 5 + n * 5) + 8n = -4 + 5n (-20 + 5n) + 8n = -4 + 5n Combine like terms: 5n + 8n = 13n -20 + 13n = -4 + 5n Solving -20 + 13n = -4 + 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. -20 + 13n + -5n = -4 + 5n + -5n Combine like terms: 13n + -5n = 8n -20 + 8n = -4 + 5n + -5n Combine like terms: 5n + -5n = 0 -20 + 8n = -4 + 0 -20 + 8n = -4 Add '20' to each side of the equation. -20 + 20 + 8n = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 8n = -4 + 20 8n = -4 + 20 Combine like terms: -4 + 20 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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