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Simplifying 2n + 19 = 2(2 + 1 + 19) + 1 Reorder the terms: 19 + 2n = 2(2 + 1 + 19) + 1 Combine like terms: 2 + 1 = 3 19 + 2n = 2(3 + 19) + 1 Combine like terms: 3 + 19 = 22 19 + 2n = 2(22) + 1 Multiply 2 * 22 19 + 2n = 44 + 1 Combine like terms: 44 + 1 = 45 19 + 2n = 45 Solving 19 + 2n = 45 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 = 45 + -19 Combine like terms: 19 + -19 = 0 0 + 2n = 45 + -19 2n = 45 + -19 Combine like terms: 45 + -19 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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