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Simplifying 5 + -4(n + -6) = 39 + -6n Reorder the terms: 5 + -4(-6 + n) = 39 + -6n 5 + (-6 * -4 + n * -4) = 39 + -6n 5 + (24 + -4n) = 39 + -6n Combine like terms: 5 + 24 = 29 29 + -4n = 39 + -6n Solving 29 + -4n = 39 + -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. 29 + -4n + 6n = 39 + -6n + 6n Combine like terms: -4n + 6n = 2n 29 + 2n = 39 + -6n + 6n Combine like terms: -6n + 6n = 0 29 + 2n = 39 + 0 29 + 2n = 39 Add '-29' to each side of the equation. 29 + -29 + 2n = 39 + -29 Combine like terms: 29 + -29 = 0 0 + 2n = 39 + -29 2n = 39 + -29 Combine like terms: 39 + -29 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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