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Simplifying 0.05(0.3m + 35n) + -0.8(-0.09n + -22) = 0 (0.3m * 0.05 + 35n * 0.05) + -0.8(-0.09n + -22) = 0 (0.015m + 1.75n) + -0.8(-0.09n + -22) = 0 Reorder the terms: 0.015m + 1.75n + -0.8(-22 + -0.09n) = 0 0.015m + 1.75n + (-22 * -0.8 + -0.09n * -0.8) = 0 0.015m + 1.75n + (17.6 + 0.072n) = 0 Reorder the terms: 17.6 + 0.015m + 1.75n + 0.072n = 0 Combine like terms: 1.75n + 0.072n = 1.822n 17.6 + 0.015m + 1.822n = 0 Solving 17.6 + 0.015m + 1.822n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17.6' to each side of the equation. 17.6 + 0.015m + -17.6 + 1.822n = 0 + -17.6 Reorder the terms: 17.6 + -17.6 + 0.015m + 1.822n = 0 + -17.6 Combine like terms: 17.6 + -17.6 = 0.0 0.0 + 0.015m + 1.822n = 0 + -17.6 0.015m + 1.822n = 0 + -17.6 Combine like terms: 0 + -17.6 = -17.6 0.015m + 1.822n = -17.6 Add '-1.822n' to each side of the equation. 0.015m + 1.822n + -1.822n = -17.6 + -1.822n Combine like terms: 1.822n + -1.822n = 0.000 0.015m + 0.000 = -17.6 + -1.822n 0.015m = -17.6 + -1.822n Divide each side by '0.015'. m = -1173.333333 + -121.4666667n Simplifying m = -1173.333333 + -121.4666667n
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