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Simplifying 4(1 + 7n) + -1 = -137 (1 * 4 + 7n * 4) + -1 = -137 (4 + 28n) + -1 = -137 Reorder the terms: 4 + -1 + 28n = -137 Combine like terms: 4 + -1 = 3 3 + 28n = -137 Solving 3 + 28n = -137 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 28n = -137 + -3 Combine like terms: 3 + -3 = 0 0 + 28n = -137 + -3 28n = -137 + -3 Combine like terms: -137 + -3 = -140 28n = -140 Divide each side by '28'. n = -5 Simplifying n = -5
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