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Simplifying 5n + 19 = 2n + 52 Reorder the terms: 19 + 5n = 2n + 52 Reorder the terms: 19 + 5n = 52 + 2n Solving 19 + 5n = 52 + 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. 19 + 5n + -2n = 52 + 2n + -2n Combine like terms: 5n + -2n = 3n 19 + 3n = 52 + 2n + -2n Combine like terms: 2n + -2n = 0 19 + 3n = 52 + 0 19 + 3n = 52 Add '-19' to each side of the equation. 19 + -19 + 3n = 52 + -19 Combine like terms: 19 + -19 = 0 0 + 3n = 52 + -19 3n = 52 + -19 Combine like terms: 52 + -19 = 33 3n = 33 Divide each side by '3'. n = 11 Simplifying n = 11
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