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Simplifying 0.05(0.3m + 35n) = 0.8(-0.09n + -22m) (0.3m * 0.05 + 35n * 0.05) = 0.8(-0.09n + -22m) (0.015m + 1.75n) = 0.8(-0.09n + -22m) Reorder the terms: 0.015m + 1.75n = 0.8(-22m + -0.09n) 0.015m + 1.75n = (-22m * 0.8 + -0.09n * 0.8) 0.015m + 1.75n = (-17.6m + -0.072n) Solving 0.015m + 1.75n = -17.6m + -0.072n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17.6m' to each side of the equation. 0.015m + 17.6m + 1.75n = -17.6m + 17.6m + -0.072n Combine like terms: 0.015m + 17.6m = 17.615m 17.615m + 1.75n = -17.6m + 17.6m + -0.072n Combine like terms: -17.6m + 17.6m = 0.0 17.615m + 1.75n = 0.0 + -0.072n 17.615m + 1.75n = -0.072n Add '-1.75n' to each side of the equation. 17.615m + 1.75n + -1.75n = -0.072n + -1.75n Combine like terms: 1.75n + -1.75n = 0.00 17.615m + 0.00 = -0.072n + -1.75n 17.615m = -0.072n + -1.75n Combine like terms: -0.072n + -1.75n = -1.822n 17.615m = -1.822n Divide each side by '17.615'. m = -0.1034345728n Simplifying m = -0.1034345728n
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