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Simplifying 7n + -7(5 + 8n) = 8n + -35 7n + (5 * -7 + 8n * -7) = 8n + -35 7n + (-35 + -56n) = 8n + -35 Reorder the terms: -35 + 7n + -56n = 8n + -35 Combine like terms: 7n + -56n = -49n -35 + -49n = 8n + -35 Reorder the terms: -35 + -49n = -35 + 8n Add '35' to each side of the equation. -35 + 35 + -49n = -35 + 35 + 8n Combine like terms: -35 + 35 = 0 0 + -49n = -35 + 35 + 8n -49n = -35 + 35 + 8n Combine like terms: -35 + 35 = 0 -49n = 0 + 8n -49n = 8n Solving -49n = 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. -49n + -8n = 8n + -8n Combine like terms: -49n + -8n = -57n -57n = 8n + -8n Combine like terms: 8n + -8n = 0 -57n = 0 Divide each side by '-57'. n = 0 Simplifying n = 0
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