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Simplifying 2 + -8(2 + 7n) = 6n + 34 2 + (2 * -8 + 7n * -8) = 6n + 34 2 + (-16 + -56n) = 6n + 34 Combine like terms: 2 + -16 = -14 -14 + -56n = 6n + 34 Reorder the terms: -14 + -56n = 34 + 6n Solving -14 + -56n = 34 + 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 + -56n + -6n = 34 + 6n + -6n Combine like terms: -56n + -6n = -62n -14 + -62n = 34 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + -62n = 34 + 0 -14 + -62n = 34 Add '14' to each side of the equation. -14 + 14 + -62n = 34 + 14 Combine like terms: -14 + 14 = 0 0 + -62n = 34 + 14 -62n = 34 + 14 Combine like terms: 34 + 14 = 48 -62n = 48 Divide each side by '-62'. n = -0.7741935484 Simplifying n = -0.7741935484
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