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Simplifying 8 + -1(3n + -5) = 5 + -4n Reorder the terms: 8 + -1(-5 + 3n) = 5 + -4n 8 + (-5 * -1 + 3n * -1) = 5 + -4n 8 + (5 + -3n) = 5 + -4n Combine like terms: 8 + 5 = 13 13 + -3n = 5 + -4n Solving 13 + -3n = 5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 13 + -3n + 4n = 5 + -4n + 4n Combine like terms: -3n + 4n = 1n 13 + 1n = 5 + -4n + 4n Combine like terms: -4n + 4n = 0 13 + 1n = 5 + 0 13 + 1n = 5 Add '-13' to each side of the equation. 13 + -13 + 1n = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 5 + -13 1n = 5 + -13 Combine like terms: 5 + -13 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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