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Simplifying 14 + -6n = 8(n + 7) Reorder the terms: 14 + -6n = 8(7 + n) 14 + -6n = (7 * 8 + n * 8) 14 + -6n = (56 + 8n) Solving 14 + -6n = 56 + 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. 14 + -6n + -8n = 56 + 8n + -8n Combine like terms: -6n + -8n = -14n 14 + -14n = 56 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -14n = 56 + 0 14 + -14n = 56 Add '-14' to each side of the equation. 14 + -14 + -14n = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -14n = 56 + -14 -14n = 56 + -14 Combine like terms: 56 + -14 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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