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Simplifying 5 + 34 = -2(1 + -7n) Combine like terms: 5 + 34 = 39 39 = -2(1 + -7n) 39 = (1 * -2 + -7n * -2) 39 = (-2 + 14n) Solving 39 = -2 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 39 + -14n = -2 + 14n + -14n Combine like terms: 14n + -14n = 0 39 + -14n = -2 + 0 39 + -14n = -2 Add '-39' to each side of the equation. 39 + -39 + -14n = -2 + -39 Combine like terms: 39 + -39 = 0 0 + -14n = -2 + -39 -14n = -2 + -39 Combine like terms: -2 + -39 = -41 -14n = -41 Divide each side by '-14'. n = 2.928571429 Simplifying n = 2.928571429
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