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Simplifying 0.05(0.3m + 35n) + -0.8(-9n + -22m) = 0 (0.3m * 0.05 + 35n * 0.05) + -0.8(-9n + -22m) = 0 (0.015m + 1.75n) + -0.8(-9n + -22m) = 0 Reorder the terms: 0.015m + 1.75n + -0.8(-22m + -9n) = 0 0.015m + 1.75n + (-22m * -0.8 + -9n * -0.8) = 0 0.015m + 1.75n + (17.6m + 7.2n) = 0 Reorder the terms: 0.015m + 17.6m + 1.75n + 7.2n = 0 Combine like terms: 0.015m + 17.6m = 17.615m 17.615m + 1.75n + 7.2n = 0 Combine like terms: 1.75n + 7.2n = 8.95n 17.615m + 8.95n = 0 Solving 17.615m + 8.95n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8.95n' to each side of the equation. 17.615m + 8.95n + -8.95n = 0 + -8.95n Combine like terms: 8.95n + -8.95n = 0.00 17.615m + 0.00 = 0 + -8.95n 17.615m = 0 + -8.95n Remove the zero: 17.615m = -8.95n Divide each side by '17.615'. m = -0.5080896963n Simplifying m = -0.5080896963n
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