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Simplifying 1 + -3(8 + -1n) = -33 + -2n 1 + (8 * -3 + -1n * -3) = -33 + -2n 1 + (-24 + 3n) = -33 + -2n Combine like terms: 1 + -24 = -23 -23 + 3n = -33 + -2n Solving -23 + 3n = -33 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -23 + 3n + 2n = -33 + -2n + 2n Combine like terms: 3n + 2n = 5n -23 + 5n = -33 + -2n + 2n Combine like terms: -2n + 2n = 0 -23 + 5n = -33 + 0 -23 + 5n = -33 Add '23' to each side of the equation. -23 + 23 + 5n = -33 + 23 Combine like terms: -23 + 23 = 0 0 + 5n = -33 + 23 5n = -33 + 23 Combine like terms: -33 + 23 = -10 5n = -10 Divide each side by '5'. n = -2 Simplifying n = -2
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