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Simplifying 35 + 8n = 7(5 + -4n) 35 + 8n = (5 * 7 + -4n * 7) 35 + 8n = (35 + -28n) Add '-35' to each side of the equation. 35 + -35 + 8n = 35 + -35 + -28n Combine like terms: 35 + -35 = 0 0 + 8n = 35 + -35 + -28n 8n = 35 + -35 + -28n Combine like terms: 35 + -35 = 0 8n = 0 + -28n 8n = -28n Solving 8n = -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 8n + 28n = -28n + 28n Combine like terms: 8n + 28n = 36n 36n = -28n + 28n Combine like terms: -28n + 28n = 0 36n = 0 Divide each side by '36'. n = 0 Simplifying n = 0
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