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Simplifying 5n + 34 = -2(1 + 7n) Reorder the terms: 34 + 5n = -2(1 + 7n) 34 + 5n = (1 * -2 + 7n * -2) 34 + 5n = (-2 + -14n) Solving 34 + 5n = -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. 34 + 5n + 14n = -2 + -14n + 14n Combine like terms: 5n + 14n = 19n 34 + 19n = -2 + -14n + 14n Combine like terms: -14n + 14n = 0 34 + 19n = -2 + 0 34 + 19n = -2 Add '-34' to each side of the equation. 34 + -34 + 19n = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 19n = -2 + -34 19n = -2 + -34 Combine like terms: -2 + -34 = -36 19n = -36 Divide each side by '19'. n = -1.894736842 Simplifying n = -1.894736842
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