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Simplifying 14(n + -1) = 6n + -12 Reorder the terms: 14(-1 + n) = 6n + -12 (-1 * 14 + n * 14) = 6n + -12 (-14 + 14n) = 6n + -12 Reorder the terms: -14 + 14n = -12 + 6n Solving -14 + 14n = -12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + 14n + -6n = -12 + 6n + -6n Combine like terms: 14n + -6n = 8n -14 + 8n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + 8n = -12 + 0 -14 + 8n = -12 Add '14' to each side of the equation. -14 + 14 + 8n = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 8n = -12 + 14 8n = -12 + 14 Combine like terms: -12 + 14 = 2 8n = 2 Divide each side by '8'. n = 0.25 Simplifying n = 0.25
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