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Simplifying 26 = -1(-6n + -8) + 6(7 + -5n) Reorder the terms: 26 = -1(-8 + -6n) + 6(7 + -5n) 26 = (-8 * -1 + -6n * -1) + 6(7 + -5n) 26 = (8 + 6n) + 6(7 + -5n) 26 = 8 + 6n + (7 * 6 + -5n * 6) 26 = 8 + 6n + (42 + -30n) Reorder the terms: 26 = 8 + 42 + 6n + -30n Combine like terms: 8 + 42 = 50 26 = 50 + 6n + -30n Combine like terms: 6n + -30n = -24n 26 = 50 + -24n Solving 26 = 50 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 26 + 24n = 50 + -24n + 24n Combine like terms: -24n + 24n = 0 26 + 24n = 50 + 0 26 + 24n = 50 Add '-26' to each side of the equation. 26 + -26 + 24n = 50 + -26 Combine like terms: 26 + -26 = 0 0 + 24n = 50 + -26 24n = 50 + -26 Combine like terms: 50 + -26 = 24 24n = 24 Divide each side by '24'. n = 1 Simplifying n = 1
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