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Simplifying 7(2 + 3n) + -3n = -38 + 5n (2 * 7 + 3n * 7) + -3n = -38 + 5n (14 + 21n) + -3n = -38 + 5n Combine like terms: 21n + -3n = 18n 14 + 18n = -38 + 5n Solving 14 + 18n = -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. 14 + 18n + -5n = -38 + 5n + -5n Combine like terms: 18n + -5n = 13n 14 + 13n = -38 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + 13n = -38 + 0 14 + 13n = -38 Add '-14' to each side of the equation. 14 + -14 + 13n = -38 + -14 Combine like terms: 14 + -14 = 0 0 + 13n = -38 + -14 13n = -38 + -14 Combine like terms: -38 + -14 = -52 13n = -52 Divide each side by '13'. n = -4 Simplifying n = -4
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