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Simplifying -8n + 21 = 7n + -3(8n + -7) Reorder the terms: 21 + -8n = 7n + -3(8n + -7) Reorder the terms: 21 + -8n = 7n + -3(-7 + 8n) 21 + -8n = 7n + (-7 * -3 + 8n * -3) 21 + -8n = 7n + (21 + -24n) Reorder the terms: 21 + -8n = 21 + 7n + -24n Combine like terms: 7n + -24n = -17n 21 + -8n = 21 + -17n Add '-21' to each side of the equation. 21 + -21 + -8n = 21 + -21 + -17n Combine like terms: 21 + -21 = 0 0 + -8n = 21 + -21 + -17n -8n = 21 + -21 + -17n Combine like terms: 21 + -21 = 0 -8n = 0 + -17n -8n = -17n Solving -8n = -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -8n + 17n = -17n + 17n Combine like terms: -8n + 17n = 9n 9n = -17n + 17n Combine like terms: -17n + 17n = 0 9n = 0 Divide each side by '9'. n = 0 Simplifying n = 0
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