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Simplifying 26 = 4(3 + -2n) + -6(8n + 7) 26 = (3 * 4 + -2n * 4) + -6(8n + 7) 26 = (12 + -8n) + -6(8n + 7) Reorder the terms: 26 = 12 + -8n + -6(7 + 8n) 26 = 12 + -8n + (7 * -6 + 8n * -6) 26 = 12 + -8n + (-42 + -48n) Reorder the terms: 26 = 12 + -42 + -8n + -48n Combine like terms: 12 + -42 = -30 26 = -30 + -8n + -48n Combine like terms: -8n + -48n = -56n 26 = -30 + -56n Solving 26 = -30 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 26 + 56n = -30 + -56n + 56n Combine like terms: -56n + 56n = 0 26 + 56n = -30 + 0 26 + 56n = -30 Add '-26' to each side of the equation. 26 + -26 + 56n = -30 + -26 Combine like terms: 26 + -26 = 0 0 + 56n = -30 + -26 56n = -30 + -26 Combine like terms: -30 + -26 = -56 56n = -56 Divide each side by '56'. n = -1 Simplifying n = -1
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