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Simplifying 2(n + 33) = 5n Reorder the terms: 2(33 + n) = 5n (33 * 2 + n * 2) = 5n (66 + 2n) = 5n Solving 66 + 2n = 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. 66 + 2n + -5n = 5n + -5n Combine like terms: 2n + -5n = -3n 66 + -3n = 5n + -5n Combine like terms: 5n + -5n = 0 66 + -3n = 0 Add '-66' to each side of the equation. 66 + -66 + -3n = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -3n = 0 + -66 -3n = 0 + -66 Combine like terms: 0 + -66 = -66 -3n = -66 Divide each side by '-3'. n = 22 Simplifying n = 22
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