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Simplifying 39 + -6n = -4(1 + 6n) + 7 39 + -6n = (1 * -4 + 6n * -4) + 7 39 + -6n = (-4 + -24n) + 7 Reorder the terms: 39 + -6n = -4 + 7 + -24n Combine like terms: -4 + 7 = 3 39 + -6n = 3 + -24n Solving 39 + -6n = 3 + -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. 39 + -6n + 24n = 3 + -24n + 24n Combine like terms: -6n + 24n = 18n 39 + 18n = 3 + -24n + 24n Combine like terms: -24n + 24n = 0 39 + 18n = 3 + 0 39 + 18n = 3 Add '-39' to each side of the equation. 39 + -39 + 18n = 3 + -39 Combine like terms: 39 + -39 = 0 0 + 18n = 3 + -39 18n = 3 + -39 Combine like terms: 3 + -39 = -36 18n = -36 Divide each side by '18'. n = -2 Simplifying n = -2
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