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Simplifying 138 = 6(4n + -5) Reorder the terms: 138 = 6(-5 + 4n) 138 = (-5 * 6 + 4n * 6) 138 = (-30 + 24n) Solving 138 = -30 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 138 + -24n = -30 + 24n + -24n Combine like terms: 24n + -24n = 0 138 + -24n = -30 + 0 138 + -24n = -30 Add '-138' to each side of the equation. 138 + -138 + -24n = -30 + -138 Combine like terms: 138 + -138 = 0 0 + -24n = -30 + -138 -24n = -30 + -138 Combine like terms: -30 + -138 = -168 -24n = -168 Divide each side by '-24'. n = 7 Simplifying n = 7
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