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Simplifying 7(5n + 2) = -27 + -6n Reorder the terms: 7(2 + 5n) = -27 + -6n (2 * 7 + 5n * 7) = -27 + -6n (14 + 35n) = -27 + -6n Solving 14 + 35n = -27 + -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. 14 + 35n + 6n = -27 + -6n + 6n Combine like terms: 35n + 6n = 41n 14 + 41n = -27 + -6n + 6n Combine like terms: -6n + 6n = 0 14 + 41n = -27 + 0 14 + 41n = -27 Add '-14' to each side of the equation. 14 + -14 + 41n = -27 + -14 Combine like terms: 14 + -14 = 0 0 + 41n = -27 + -14 41n = -27 + -14 Combine like terms: -27 + -14 = -41 41n = -41 Divide each side by '41'. n = -1 Simplifying n = -1
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