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Simplifying 2m + 19 = 96 + 2(2n + 20) Reorder the terms: 19 + 2m = 96 + 2(2n + 20) Reorder the terms: 19 + 2m = 96 + 2(20 + 2n) 19 + 2m = 96 + (20 * 2 + 2n * 2) 19 + 2m = 96 + (40 + 4n) Combine like terms: 96 + 40 = 136 19 + 2m = 136 + 4n Solving 19 + 2m = 136 + 4n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2m = 136 + -19 + 4n Combine like terms: 19 + -19 = 0 0 + 2m = 136 + -19 + 4n 2m = 136 + -19 + 4n Combine like terms: 136 + -19 = 117 2m = 117 + 4n Divide each side by '2'. m = 58.5 + 2n Simplifying m = 58.5 + 2n
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