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Simplifying 5n + 2(m + 1) = 23 Reorder the terms: 5n + 2(1 + m) = 23 5n + (1 * 2 + m * 2) = 23 5n + (2 + 2m) = 23 Reorder the terms: 2 + 2m + 5n = 23 Solving 2 + 2m + 5n = 23 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2m + -2 + 5n = 23 + -2 Reorder the terms: 2 + -2 + 2m + 5n = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 2m + 5n = 23 + -2 2m + 5n = 23 + -2 Combine like terms: 23 + -2 = 21 2m + 5n = 21 Add '-5n' to each side of the equation. 2m + 5n + -5n = 21 + -5n Combine like terms: 5n + -5n = 0 2m + 0 = 21 + -5n 2m = 21 + -5n Divide each side by '2'. m = 10.5 + -2.5n Simplifying m = 10.5 + -2.5n
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