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Simplifying 0.05(0.03 + 35n) + -0.08(-0.09 + -22m) = 0 (0.03 * 0.05 + 35n * 0.05) + -0.08(-0.09 + -22m) = 0 (0.0015 + 1.75n) + -0.08(-0.09 + -22m) = 0 0.0015 + 1.75n + (-0.09 * -0.08 + -22m * -0.08) = 0 0.0015 + 1.75n + (0.0072 + 1.76m) = 0 Reorder the terms: 0.0015 + 0.0072 + 1.76m + 1.75n = 0 Combine like terms: 0.0015 + 0.0072 = 0.0087 0.0087 + 1.76m + 1.75n = 0 Solving 0.0087 + 1.76m + 1.75n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.0087' to each side of the equation. 0.0087 + 1.76m + -0.0087 + 1.75n = 0 + -0.0087 Reorder the terms: 0.0087 + -0.0087 + 1.76m + 1.75n = 0 + -0.0087 Combine like terms: 0.0087 + -0.0087 = 0.0000 0.0000 + 1.76m + 1.75n = 0 + -0.0087 1.76m + 1.75n = 0 + -0.0087 Combine like terms: 0 + -0.0087 = -0.0087 1.76m + 1.75n = -0.0087 Add '-1.75n' to each side of the equation. 1.76m + 1.75n + -1.75n = -0.0087 + -1.75n Combine like terms: 1.75n + -1.75n = 0.00 1.76m + 0.00 = -0.0087 + -1.75n 1.76m = -0.0087 + -1.75n Divide each side by '1.76'. m = -0.004943181818 + -0.9943181818n Simplifying m = -0.004943181818 + -0.9943181818n
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