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Simplifying 8 + -1(4n + -3) = 1 + -5n Reorder the terms: 8 + -1(-3 + 4n) = 1 + -5n 8 + (-3 * -1 + 4n * -1) = 1 + -5n 8 + (3 + -4n) = 1 + -5n Combine like terms: 8 + 3 = 11 11 + -4n = 1 + -5n Solving 11 + -4n = 1 + -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. 11 + -4n + 5n = 1 + -5n + 5n Combine like terms: -4n + 5n = 1n 11 + 1n = 1 + -5n + 5n Combine like terms: -5n + 5n = 0 11 + 1n = 1 + 0 11 + 1n = 1 Add '-11' to each side of the equation. 11 + -11 + 1n = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 1n = 1 + -11 1n = 1 + -11 Combine like terms: 1 + -11 = -10 1n = -10 Divide each side by '1'. n = -10 Simplifying n = -10
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