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Simplifying -7n + 5(7n + 7) = 175 Reorder the terms: -7n + 5(7 + 7n) = 175 -7n + (7 * 5 + 7n * 5) = 175 -7n + (35 + 35n) = 175 Reorder the terms: 35 + -7n + 35n = 175 Combine like terms: -7n + 35n = 28n 35 + 28n = 175 Solving 35 + 28n = 175 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 + 28n = 175 + -35 Combine like terms: 35 + -35 = 0 0 + 28n = 175 + -35 28n = 175 + -35 Combine like terms: 175 + -35 = 140 28n = 140 Divide each side by '28'. n = 5 Simplifying n = 5
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