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Simplifying 2(1n + -1) + 2 = 30 + 8n Reorder the terms: 2(-1 + 1n) + 2 = 30 + 8n (-1 * 2 + 1n * 2) + 2 = 30 + 8n (-2 + 2n) + 2 = 30 + 8n Reorder the terms: -2 + 2 + 2n = 30 + 8n Combine like terms: -2 + 2 = 0 0 + 2n = 30 + 8n 2n = 30 + 8n Solving 2n = 30 + 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. 2n + -8n = 30 + 8n + -8n Combine like terms: 2n + -8n = -6n -6n = 30 + 8n + -8n Combine like terms: 8n + -8n = 0 -6n = 30 + 0 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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