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Simplifying 21 = -4 + 8(n + 7) Reorder the terms: 21 = -4 + 8(7 + n) 21 = -4 + (7 * 8 + n * 8) 21 = -4 + (56 + 8n) Combine like terms: -4 + 56 = 52 21 = 52 + 8n Solving 21 = 52 + 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 + -8n = 52 + 8n + -8n Combine like terms: 8n + -8n = 0 21 + -8n = 52 + 0 21 + -8n = 52 Add '-21' to each side of the equation. 21 + -21 + -8n = 52 + -21 Combine like terms: 21 + -21 = 0 0 + -8n = 52 + -21 -8n = 52 + -21 Combine like terms: 52 + -21 = 31 -8n = 31 Divide each side by '-8'. n = -3.875 Simplifying n = -3.875
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