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Simplifying 14 = 2(4n + -1) Reorder the terms: 14 = 2(-1 + 4n) 14 = (-1 * 2 + 4n * 2) 14 = (-2 + 8n) Solving 14 = -2 + 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 + -8n = -2 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -8n = -2 + 0 14 + -8n = -2 Add '-14' to each side of the equation. 14 + -14 + -8n = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -8n = -2 + -14 -8n = -2 + -14 Combine like terms: -2 + -14 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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