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Simplifying 7(3n + -2) = -3n + -38 Reorder the terms: 7(-2 + 3n) = -3n + -38 (-2 * 7 + 3n * 7) = -3n + -38 (-14 + 21n) = -3n + -38 Reorder the terms: -14 + 21n = -38 + -3n Solving -14 + 21n = -38 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -14 + 21n + 3n = -38 + -3n + 3n Combine like terms: 21n + 3n = 24n -14 + 24n = -38 + -3n + 3n Combine like terms: -3n + 3n = 0 -14 + 24n = -38 + 0 -14 + 24n = -38 Add '14' to each side of the equation. -14 + 14 + 24n = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 24n = -38 + 14 24n = -38 + 14 Combine like terms: -38 + 14 = -24 24n = -24 Divide each side by '24'. n = -1 Simplifying n = -1
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