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Simplifying 0.05(0.3m + 35n) + -0.8(-0.09n + -22m) = 0 (0.3m * 0.05 + 35n * 0.05) + -0.8(-0.09n + -22m) = 0 (0.015m + 1.75n) + -0.8(-0.09n + -22m) = 0 Reorder the terms: 0.015m + 1.75n + -0.8(-22m + -0.09n) = 0 0.015m + 1.75n + (-22m * -0.8 + -0.09n * -0.8) = 0 0.015m + 1.75n + (17.6m + 0.072n) = 0 Reorder the terms: 0.015m + 17.6m + 1.75n + 0.072n = 0 Combine like terms: 0.015m + 17.6m = 17.615m 17.615m + 1.75n + 0.072n = 0 Combine like terms: 1.75n + 0.072n = 1.822n 17.615m + 1.822n = 0 Solving 17.615m + 1.822n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.822n' to each side of the equation. 17.615m + 1.822n + -1.822n = 0 + -1.822n Combine like terms: 1.822n + -1.822n = 0.000 17.615m + 0.000 = 0 + -1.822n 17.615m = 0 + -1.822n Remove the zero: 17.615m = -1.822n Divide each side by '17.615'. m = -0.1034345728n Simplifying m = -0.1034345728n
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