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Simplifying 5 + 4(n + -2) = -33 + -2n Reorder the terms: 5 + 4(-2 + n) = -33 + -2n 5 + (-2 * 4 + n * 4) = -33 + -2n 5 + (-8 + 4n) = -33 + -2n Combine like terms: 5 + -8 = -3 -3 + 4n = -33 + -2n Solving -3 + 4n = -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. -3 + 4n + 2n = -33 + -2n + 2n Combine like terms: 4n + 2n = 6n -3 + 6n = -33 + -2n + 2n Combine like terms: -2n + 2n = 0 -3 + 6n = -33 + 0 -3 + 6n = -33 Add '3' to each side of the equation. -3 + 3 + 6n = -33 + 3 Combine like terms: -3 + 3 = 0 0 + 6n = -33 + 3 6n = -33 + 3 Combine like terms: -33 + 3 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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