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Simplifying 6 + -1(4n + -8) = 7 + -5n Reorder the terms: 6 + -1(-8 + 4n) = 7 + -5n 6 + (-8 * -1 + 4n * -1) = 7 + -5n 6 + (8 + -4n) = 7 + -5n Combine like terms: 6 + 8 = 14 14 + -4n = 7 + -5n Solving 14 + -4n = 7 + -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 = 7 + -5n + 5n Combine like terms: -4n + 5n = 1n 14 + 1n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 14 + 1n = 7 + 0 14 + 1n = 7 Add '-14' to each side of the equation. 14 + -14 + 1n = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 7 + -14 1n = 7 + -14 Combine like terms: 7 + -14 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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