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Simplifying -1 + 5(5n + 7) = 7n + -38 Reorder the terms: -1 + 5(7 + 5n) = 7n + -38 -1 + (7 * 5 + 5n * 5) = 7n + -38 -1 + (35 + 25n) = 7n + -38 Combine like terms: -1 + 35 = 34 34 + 25n = 7n + -38 Reorder the terms: 34 + 25n = -38 + 7n Solving 34 + 25n = -38 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 34 + 25n + -7n = -38 + 7n + -7n Combine like terms: 25n + -7n = 18n 34 + 18n = -38 + 7n + -7n Combine like terms: 7n + -7n = 0 34 + 18n = -38 + 0 34 + 18n = -38 Add '-34' to each side of the equation. 34 + -34 + 18n = -38 + -34 Combine like terms: 34 + -34 = 0 0 + 18n = -38 + -34 18n = -38 + -34 Combine like terms: -38 + -34 = -72 18n = -72 Divide each side by '18'. n = -4 Simplifying n = -4
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