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Simplifying 2n + 19 = 2(100 + 2 + 19) + 1 Reorder the terms: 19 + 2n = 2(100 + 2 + 19) + 1 Combine like terms: 100 + 2 = 102 19 + 2n = 2(102 + 19) + 1 Combine like terms: 102 + 19 = 121 19 + 2n = 2(121) + 1 Multiply 2 * 121 19 + 2n = 242 + 1 Combine like terms: 242 + 1 = 243 19 + 2n = 243 Solving 19 + 2n = 243 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 = 243 + -19 Combine like terms: 19 + -19 = 0 0 + 2n = 243 + -19 2n = 243 + -19 Combine like terms: 243 + -19 = 224 2n = 224 Divide each side by '2'. n = 112 Simplifying n = 112
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