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Simplifying 50.5(0.3m + 35n) = 0.8(-0.09n + -22m) (0.3m * 50.5 + 35n * 50.5) = 0.8(-0.09n + -22m) (15.15m + 1767.5n) = 0.8(-0.09n + -22m) Reorder the terms: 15.15m + 1767.5n = 0.8(-22m + -0.09n) 15.15m + 1767.5n = (-22m * 0.8 + -0.09n * 0.8) 15.15m + 1767.5n = (-17.6m + -0.072n) Solving 15.15m + 1767.5n = -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. 15.15m + 17.6m + 1767.5n = -17.6m + 17.6m + -0.072n Combine like terms: 15.15m + 17.6m = 32.75m 32.75m + 1767.5n = -17.6m + 17.6m + -0.072n Combine like terms: -17.6m + 17.6m = 0.0 32.75m + 1767.5n = 0.0 + -0.072n 32.75m + 1767.5n = -0.072n Add '-1767.5n' to each side of the equation. 32.75m + 1767.5n + -1767.5n = -0.072n + -1767.5n Combine like terms: 1767.5n + -1767.5n = 0.0 32.75m + 0.0 = -0.072n + -1767.5n 32.75m = -0.072n + -1767.5n Combine like terms: -0.072n + -1767.5n = -1767.572n 32.75m = -1767.572n Divide each side by '32.75'. m = -53.97166412n Simplifying m = -53.97166412n
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