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Simplifying 5n + -20 = -3(4n + -2) + 4n Reorder the terms: -20 + 5n = -3(4n + -2) + 4n Reorder the terms: -20 + 5n = -3(-2 + 4n) + 4n -20 + 5n = (-2 * -3 + 4n * -3) + 4n -20 + 5n = (6 + -12n) + 4n Combine like terms: -12n + 4n = -8n -20 + 5n = 6 + -8n Solving -20 + 5n = 6 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -20 + 5n + 8n = 6 + -8n + 8n Combine like terms: 5n + 8n = 13n -20 + 13n = 6 + -8n + 8n Combine like terms: -8n + 8n = 0 -20 + 13n = 6 + 0 -20 + 13n = 6 Add '20' to each side of the equation. -20 + 20 + 13n = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 13n = 6 + 20 13n = 6 + 20 Combine like terms: 6 + 20 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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