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Simplifying 26 + -1n = 5n + -8(3 + 7n) 26 + -1n = 5n + (3 * -8 + 7n * -8) 26 + -1n = 5n + (-24 + -56n) Reorder the terms: 26 + -1n = -24 + 5n + -56n Combine like terms: 5n + -56n = -51n 26 + -1n = -24 + -51n Solving 26 + -1n = -24 + -51n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '51n' to each side of the equation. 26 + -1n + 51n = -24 + -51n + 51n Combine like terms: -1n + 51n = 50n 26 + 50n = -24 + -51n + 51n Combine like terms: -51n + 51n = 0 26 + 50n = -24 + 0 26 + 50n = -24 Add '-26' to each side of the equation. 26 + -26 + 50n = -24 + -26 Combine like terms: 26 + -26 = 0 0 + 50n = -24 + -26 50n = -24 + -26 Combine like terms: -24 + -26 = -50 50n = -50 Divide each side by '50'. n = -1 Simplifying n = -1
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