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