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Simplifying 8n + -1n + 35 = 175 + (-7) Reorder the terms: 35 + 8n + -1n = 175 + (-7) Combine like terms: 8n + -1n = 7n 35 + 7n = 175 + (-7) 35 + 7n = 175 + -7 Combine like terms: 175 + -7 = 168 35 + 7n = 168 Solving 35 + 7n = 168 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7n = 168 + -35 Combine like terms: 35 + -35 = 0 0 + 7n = 168 + -35 7n = 168 + -35 Combine like terms: 168 + -35 = 133 7n = 133 Divide each side by '7'. n = 19 Simplifying n = 19
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