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Simplifying 19.2 = 0.06(8 + -0.6m) + 0.468 19.2 = (8 * 0.06 + -0.6m * 0.06) + 0.468 19.2 = (0.48 + -0.036m) + 0.468 Reorder the terms: 19.2 = 0.48 + 0.468 + -0.036m Combine like terms: 0.48 + 0.468 = 0.948 19.2 = 0.948 + -0.036m Solving 19.2 = 0.948 + -0.036m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.036m' to each side of the equation. 19.2 + 0.036m = 0.948 + -0.036m + 0.036m Combine like terms: -0.036m + 0.036m = 0.000 19.2 + 0.036m = 0.948 + 0.000 19.2 + 0.036m = 0.948 Add '-19.2' to each side of the equation. 19.2 + -19.2 + 0.036m = 0.948 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + 0.036m = 0.948 + -19.2 0.036m = 0.948 + -19.2 Combine like terms: 0.948 + -19.2 = -18.252 0.036m = -18.252 Divide each side by '0.036'. m = -507 Simplifying m = -507
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