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Simplifying 2n + 19 = 2((2) * 2 + 19) + 1 Reorder the terms: 19 + 2n = 2((2) * 2 + 19) + 1 Multiply 2 * 2 19 + 2n = 2(4 + 19) + 1 Combine like terms: 4 + 19 = 23 19 + 2n = 2(23) + 1 Multiply 2 * 23 19 + 2n = 46 + 1 Combine like terms: 46 + 1 = 47 19 + 2n = 47 Solving 19 + 2n = 47 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 = 47 + -19 Combine like terms: 19 + -19 = 0 0 + 2n = 47 + -19 2n = 47 + -19 Combine like terms: 47 + -19 = 28 2n = 28 Divide each side by '2'. n = 14 Simplifying n = 14
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