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Simplifying 0.40m + 0.40n = 0.40(x + n) Reorder the terms: 0.40m + 0.40n = 0.40(n + x) 0.40m + 0.40n = (n * 0.40 + x * 0.40) 0.40m + 0.40n = (0.40n + 0.40x) Add '-0.40n' to each side of the equation. 0.40m + 0.40n + -0.40n = 0.40n + -0.40n + 0.40x Combine like terms: 0.40n + -0.40n = 0.00 0.40m + 0.00 = 0.40n + -0.40n + 0.40x 0.40m = 0.40n + -0.40n + 0.40x Combine like terms: 0.40n + -0.40n = 0.00 0.40m = 0.00 + 0.40x 0.40m = 0.40x Solving 0.40m = 0.40x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '0.40'. m = x Simplifying m = x
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