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Simplifying 0.05(0.3m + 35n) + -0.8(-0.09n + -22n) = 0 (0.3m * 0.05 + 35n * 0.05) + -0.8(-0.09n + -22n) = 0 (0.015m + 1.75n) + -0.8(-0.09n + -22n) = 0 Combine like terms: -0.09n + -22n = -22.09n 0.015m + 1.75n + -0.8(-22.09n) = 0 Remove parenthesis around (-22.09n) 0.015m + 1.75n + -0.8 * -22.09n = 0 Multiply -0.8 * -22.09 0.015m + 1.75n + 17.672n = 0 Combine like terms: 1.75n + 17.672n = 19.422n 0.015m + 19.422n = 0 Solving 0.015m + 19.422n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19.422n' to each side of the equation. 0.015m + 19.422n + -19.422n = 0 + -19.422n Combine like terms: 19.422n + -19.422n = 0.000 0.015m + 0.000 = 0 + -19.422n 0.015m = 0 + -19.422n Remove the zero: 0.015m = -19.422n Divide each side by '0.015'. m = -1294.8n Simplifying m = -1294.8n
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