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Simplifying 2n + 19 = 2(18 + 1 + 19) + 1 Reorder the terms: 19 + 2n = 2(18 + 1 + 19) + 1 Combine like terms: 18 + 1 = 19 19 + 2n = 2(19 + 19) + 1 Combine like terms: 19 + 19 = 38 19 + 2n = 2(38) + 1 Multiply 2 * 38 19 + 2n = 76 + 1 Combine like terms: 76 + 1 = 77 19 + 2n = 77 Solving 19 + 2n = 77 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2n = 77 + -19 Combine like terms: 19 + -19 = 0 0 + 2n = 77 + -19 2n = 77 + -19 Combine like terms: 77 + -19 = 58 2n = 58 Divide each side by '2'. n = 29 Simplifying n = 29
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