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Simplifying 2n + 19 = 2(2 + 19) + 1 Reorder the terms: 19 + 2n = 2(2 + 19) + 1 Combine like terms: 2 + 19 = 21 19 + 2n = 2(21) + 1 Multiply 2 * 21 19 + 2n = 42 + 1 Combine like terms: 42 + 1 = 43 19 + 2n = 43 Solving 19 + 2n = 43 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 = 43 + -19 Combine like terms: 19 + -19 = 0 0 + 2n = 43 + -19 2n = 43 + -19 Combine like terms: 43 + -19 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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