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Simplifying 8 + -1(4n + -5) = 7 + -5n Reorder the terms: 8 + -1(-5 + 4n) = 7 + -5n 8 + (-5 * -1 + 4n * -1) = 7 + -5n 8 + (5 + -4n) = 7 + -5n Combine like terms: 8 + 5 = 13 13 + -4n = 7 + -5n Solving 13 + -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. 13 + -4n + 5n = 7 + -5n + 5n Combine like terms: -4n + 5n = 1n 13 + 1n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 13 + 1n = 7 + 0 13 + 1n = 7 Add '-13' to each side of the equation. 13 + -13 + 1n = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 7 + -13 1n = 7 + -13 Combine like terms: 7 + -13 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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