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Simplifying -7(1 + -3n) = 38 + 6n (1 * -7 + -3n * -7) = 38 + 6n (-7 + 21n) = 38 + 6n Solving -7 + 21n = 38 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -7 + 21n + -6n = 38 + 6n + -6n Combine like terms: 21n + -6n = 15n -7 + 15n = 38 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 + 15n = 38 + 0 -7 + 15n = 38 Add '7' to each side of the equation. -7 + 7 + 15n = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 15n = 38 + 7 15n = 38 + 7 Combine like terms: 38 + 7 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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