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Simplifying 7 + -1(4 + -5n) = -33 + -4n 7 + (4 * -1 + -5n * -1) = -33 + -4n 7 + (-4 + 5n) = -33 + -4n Combine like terms: 7 + -4 = 3 3 + 5n = -33 + -4n Solving 3 + 5n = -33 + -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. 3 + 5n + 4n = -33 + -4n + 4n Combine like terms: 5n + 4n = 9n 3 + 9n = -33 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + 9n = -33 + 0 3 + 9n = -33 Add '-3' to each side of the equation. 3 + -3 + 9n = -33 + -3 Combine like terms: 3 + -3 = 0 0 + 9n = -33 + -3 9n = -33 + -3 Combine like terms: -33 + -3 = -36 9n = -36 Divide each side by '9'. n = -4 Simplifying n = -4
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