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Simplifying 4(-1 + 6n) = 38 + 3n (-1 * 4 + 6n * 4) = 38 + 3n (-4 + 24n) = 38 + 3n Solving -4 + 24n = 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. -4 + 24n + -3n = 38 + 3n + -3n Combine like terms: 24n + -3n = 21n -4 + 21n = 38 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 + 21n = 38 + 0 -4 + 21n = 38 Add '4' to each side of the equation. -4 + 4 + 21n = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 21n = 38 + 4 21n = 38 + 4 Combine like terms: 38 + 4 = 42 21n = 42 Divide each side by '21'. n = 2 Simplifying n = 2
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