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Simplifying -14 = 2(5n + 1) + 2(1 + -8n) Reorder the terms: -14 = 2(1 + 5n) + 2(1 + -8n) -14 = (1 * 2 + 5n * 2) + 2(1 + -8n) -14 = (2 + 10n) + 2(1 + -8n) -14 = 2 + 10n + (1 * 2 + -8n * 2) -14 = 2 + 10n + (2 + -16n) Reorder the terms: -14 = 2 + 2 + 10n + -16n Combine like terms: 2 + 2 = 4 -14 = 4 + 10n + -16n Combine like terms: 10n + -16n = -6n -14 = 4 + -6n Solving -14 = 4 + -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 + 6n = 4 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + 6n = 4 + 0 -14 + 6n = 4 Add '14' to each side of the equation. -14 + 14 + 6n = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6n = 4 + 14 6n = 4 + 14 Combine like terms: 4 + 14 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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