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Simplifying 8n + -21 = 3(-1n + 4) Reorder the terms: -21 + 8n = 3(-1n + 4) Reorder the terms: -21 + 8n = 3(4 + -1n) -21 + 8n = (4 * 3 + -1n * 3) -21 + 8n = (12 + -3n) Solving -21 + 8n = 12 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -21 + 8n + 3n = 12 + -3n + 3n Combine like terms: 8n + 3n = 11n -21 + 11n = 12 + -3n + 3n Combine like terms: -3n + 3n = 0 -21 + 11n = 12 + 0 -21 + 11n = 12 Add '21' to each side of the equation. -21 + 21 + 11n = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 11n = 12 + 21 11n = 12 + 21 Combine like terms: 12 + 21 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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