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Simplifying -7(1 + 2n) + 7 = 30 + -8n (1 * -7 + 2n * -7) + 7 = 30 + -8n (-7 + -14n) + 7 = 30 + -8n Reorder the terms: -7 + 7 + -14n = 30 + -8n Combine like terms: -7 + 7 = 0 0 + -14n = 30 + -8n -14n = 30 + -8n Solving -14n = 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. -14n + 8n = 30 + -8n + 8n Combine like terms: -14n + 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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