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Simplifying n + 5(7n + 7) = -21 + 8n Reorder the terms: n + 5(7 + 7n) = -21 + 8n n + (7 * 5 + 7n * 5) = -21 + 8n n + (35 + 35n) = -21 + 8n Reorder the terms: 35 + n + 35n = -21 + 8n Combine like terms: n + 35n = 36n 35 + 36n = -21 + 8n Solving 35 + 36n = -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. 35 + 36n + -8n = -21 + 8n + -8n Combine like terms: 36n + -8n = 28n 35 + 28n = -21 + 8n + -8n Combine like terms: 8n + -8n = 0 35 + 28n = -21 + 0 35 + 28n = -21 Add '-35' to each side of the equation. 35 + -35 + 28n = -21 + -35 Combine like terms: 35 + -35 = 0 0 + 28n = -21 + -35 28n = -21 + -35 Combine like terms: -21 + -35 = -56 28n = -56 Divide each side by '28'. n = -2 Simplifying n = -2
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