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Simplifying 0 = 0.05(0.3m + 35n) + -0.8(0.9n + -22m) 0 = (0.3m * 0.05 + 35n * 0.05) + -0.8(0.9n + -22m) 0 = (0.015m + 1.75n) + -0.8(0.9n + -22m) Reorder the terms: 0 = 0.015m + 1.75n + -0.8(-22m + 0.9n) 0 = 0.015m + 1.75n + (-22m * -0.8 + 0.9n * -0.8) 0 = 0.015m + 1.75n + (17.6m + -0.72n) Reorder the terms: 0 = 0.015m + 17.6m + 1.75n + -0.72n Combine like terms: 0.015m + 17.6m = 17.615m 0 = 17.615m + 1.75n + -0.72n Combine like terms: 1.75n + -0.72n = 1.03n 0 = 17.615m + 1.03n Solving 0 = 17.615m + 1.03n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17.615m' to each side of the equation. 0 + -17.615m = 17.615m + -17.615m + 1.03n Remove the zero: -17.615m = 17.615m + -17.615m + 1.03n Combine like terms: 17.615m + -17.615m = 0.000 -17.615m = 0.000 + 1.03n -17.615m = 1.03n Divide each side by '-17.615'. m = -0.05847289242n Simplifying m = -0.05847289242n
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