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Simplifying -2n + 1 = 38 + 5n Reorder the terms: 1 + -2n = 38 + 5n Solving 1 + -2n = 38 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + -2n + -5n = 38 + 5n + -5n Combine like terms: -2n + -5n = -7n 1 + -7n = 38 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -7n = 38 + 0 1 + -7n = 38 Add '-1' to each side of the equation. 1 + -1 + -7n = 38 + -1 Combine like terms: 1 + -1 = 0 0 + -7n = 38 + -1 -7n = 38 + -1 Combine like terms: 38 + -1 = 37 -7n = 37 Divide each side by '-7'. n = -5.285714286 Simplifying n = -5.285714286
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