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Simplifying 7n + 38 = -6(1 + -3n) Reorder the terms: 38 + 7n = -6(1 + -3n) 38 + 7n = (1 * -6 + -3n * -6) 38 + 7n = (-6 + 18n) Solving 38 + 7n = -6 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 38 + 7n + -18n = -6 + 18n + -18n Combine like terms: 7n + -18n = -11n 38 + -11n = -6 + 18n + -18n Combine like terms: 18n + -18n = 0 38 + -11n = -6 + 0 38 + -11n = -6 Add '-38' to each side of the equation. 38 + -38 + -11n = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -11n = -6 + -38 -11n = -6 + -38 Combine like terms: -6 + -38 = -44 -11n = -44 Divide each side by '-11'. n = 4 Simplifying n = 4
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