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Simplifying 3(7 + -3n) = -8n + 29 (7 * 3 + -3n * 3) = -8n + 29 (21 + -9n) = -8n + 29 Reorder the terms: 21 + -9n = 29 + -8n Solving 21 + -9n = 29 + -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. 21 + -9n + 8n = 29 + -8n + 8n Combine like terms: -9n + 8n = -1n 21 + -1n = 29 + -8n + 8n Combine like terms: -8n + 8n = 0 21 + -1n = 29 + 0 21 + -1n = 29 Add '-21' to each side of the equation. 21 + -21 + -1n = 29 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 29 + -21 -1n = 29 + -21 Combine like terms: 29 + -21 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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