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Simplifying -7(8n + -6) + -6 = -26 + 6n Reorder the terms: -7(-6 + 8n) + -6 = -26 + 6n (-6 * -7 + 8n * -7) + -6 = -26 + 6n (42 + -56n) + -6 = -26 + 6n Reorder the terms: 42 + -6 + -56n = -26 + 6n Combine like terms: 42 + -6 = 36 36 + -56n = -26 + 6n Solving 36 + -56n = -26 + 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. 36 + -56n + -6n = -26 + 6n + -6n Combine like terms: -56n + -6n = -62n 36 + -62n = -26 + 6n + -6n Combine like terms: 6n + -6n = 0 36 + -62n = -26 + 0 36 + -62n = -26 Add '-36' to each side of the equation. 36 + -36 + -62n = -26 + -36 Combine like terms: 36 + -36 = 0 0 + -62n = -26 + -36 -62n = -26 + -36 Combine like terms: -26 + -36 = -62 -62n = -62 Divide each side by '-62'. n = 1 Simplifying n = 1
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