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Simplifying -8(2 + 7n) = 6n + 34 (2 * -8 + 7n * -8) = 6n + 34 (-16 + -56n) = 6n + 34 Reorder the terms: -16 + -56n = 34 + 6n Solving -16 + -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. -16 + -56n + -6n = 34 + 6n + -6n Combine like terms: -56n + -6n = -62n -16 + -62n = 34 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + -62n = 34 + 0 -16 + -62n = 34 Add '16' to each side of the equation. -16 + 16 + -62n = 34 + 16 Combine like terms: -16 + 16 = 0 0 + -62n = 34 + 16 -62n = 34 + 16 Combine like terms: 34 + 16 = 50 -62n = 50 Divide each side by '-62'. n = -0.8064516129 Simplifying n = -0.8064516129
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