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Simplifying 2 + -7(-3n + 1) = 8n + 21 Reorder the terms: 2 + -7(1 + -3n) = 8n + 21 2 + (1 * -7 + -3n * -7) = 8n + 21 2 + (-7 + 21n) = 8n + 21 Combine like terms: 2 + -7 = -5 -5 + 21n = 8n + 21 Reorder the terms: -5 + 21n = 21 + 8n Solving -5 + 21n = 21 + 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. -5 + 21n + -8n = 21 + 8n + -8n Combine like terms: 21n + -8n = 13n -5 + 13n = 21 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + 13n = 21 + 0 -5 + 13n = 21 Add '5' to each side of the equation. -5 + 5 + 13n = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 13n = 21 + 5 13n = 21 + 5 Combine like terms: 21 + 5 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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