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Simplifying -2(1 + -6n) + 2n = -5n + 34 (1 * -2 + -6n * -2) + 2n = -5n + 34 (-2 + 12n) + 2n = -5n + 34 Combine like terms: 12n + 2n = 14n -2 + 14n = -5n + 34 Reorder the terms: -2 + 14n = 34 + -5n Solving -2 + 14n = 34 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -2 + 14n + 5n = 34 + -5n + 5n Combine like terms: 14n + 5n = 19n -2 + 19n = 34 + -5n + 5n Combine like terms: -5n + 5n = 0 -2 + 19n = 34 + 0 -2 + 19n = 34 Add '2' to each side of the equation. -2 + 2 + 19n = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 19n = 34 + 2 19n = 34 + 2 Combine like terms: 34 + 2 = 36 19n = 36 Divide each side by '19'. n = 1.894736842 Simplifying n = 1.894736842
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