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Simplifying 8 + -1(4n + -6) = 3 + -5n Reorder the terms: 8 + -1(-6 + 4n) = 3 + -5n 8 + (-6 * -1 + 4n * -1) = 3 + -5n 8 + (6 + -4n) = 3 + -5n Combine like terms: 8 + 6 = 14 14 + -4n = 3 + -5n Solving 14 + -4n = 3 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 14 + -4n + 5n = 3 + -5n + 5n Combine like terms: -4n + 5n = 1n 14 + 1n = 3 + -5n + 5n Combine like terms: -5n + 5n = 0 14 + 1n = 3 + 0 14 + 1n = 3 Add '-14' to each side of the equation. 14 + -14 + 1n = 3 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 3 + -14 1n = 3 + -14 Combine like terms: 3 + -14 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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