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Simplifying -7(-2 + 5n) = 14 + 8n (-2 * -7 + 5n * -7) = 14 + 8n (14 + -35n) = 14 + 8n Add '-14' to each side of the equation. 14 + -14 + -35n = 14 + -14 + 8n Combine like terms: 14 + -14 = 0 0 + -35n = 14 + -14 + 8n -35n = 14 + -14 + 8n Combine like terms: 14 + -14 = 0 -35n = 0 + 8n -35n = 8n Solving -35n = 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. -35n + -8n = 8n + -8n Combine like terms: -35n + -8n = -43n -43n = 8n + -8n Combine like terms: 8n + -8n = 0 -43n = 0 Divide each side by '-43'. n = 0 Simplifying n = 0
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