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Simplifying 2n + 21 = 5n + 33 Reorder the terms: 21 + 2n = 5n + 33 Reorder the terms: 21 + 2n = 33 + 5n Solving 21 + 2n = 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. 21 + 2n + -5n = 33 + 5n + -5n Combine like terms: 2n + -5n = -3n 21 + -3n = 33 + 5n + -5n Combine like terms: 5n + -5n = 0 21 + -3n = 33 + 0 21 + -3n = 33 Add '-21' to each side of the equation. 21 + -21 + -3n = 33 + -21 Combine like terms: 21 + -21 = 0 0 + -3n = 33 + -21 -3n = 33 + -21 Combine like terms: 33 + -21 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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