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Simplifying -21 + n = n + 7(n + 2) Reorder the terms: -21 + n = n + 7(2 + n) -21 + n = n + (2 * 7 + n * 7) -21 + n = n + (14 + 7n) Reorder the terms: -21 + n = 14 + n + 7n Combine like terms: n + 7n = 8n -21 + n = 14 + 8n Solving -21 + n = 14 + 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 + n + -8n = 14 + 8n + -8n Combine like terms: n + -8n = -7n -21 + -7n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 -21 + -7n = 14 + 0 -21 + -7n = 14 Add '21' to each side of the equation. -21 + 21 + -7n = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = 14 + 21 -7n = 14 + 21 Combine like terms: 14 + 21 = 35 -7n = 35 Divide each side by '-7'. n = -5 Simplifying n = -5
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