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Simplifying -1(n + 3) = -33 + 5n Reorder the terms: -1(3 + n) = -33 + 5n (3 * -1 + n * -1) = -33 + 5n (-3 + -1n) = -33 + 5n Solving -3 + -1n = -33 + 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. -3 + -1n + -5n = -33 + 5n + -5n Combine like terms: -1n + -5n = -6n -3 + -6n = -33 + 5n + -5n Combine like terms: 5n + -5n = 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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