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Simplifying 4.4(-3.4m + 1.8) = -38.074 + -7.03m Reorder the terms: 4.4(1.8 + -3.4m) = -38.074 + -7.03m (1.8 * 4.4 + -3.4m * 4.4) = -38.074 + -7.03m (7.92 + -14.96m) = -38.074 + -7.03m Solving 7.92 + -14.96m = -38.074 + -7.03m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7.03m' to each side of the equation. 7.92 + -14.96m + 7.03m = -38.074 + -7.03m + 7.03m Combine like terms: -14.96m + 7.03m = -7.93m 7.92 + -7.93m = -38.074 + -7.03m + 7.03m Combine like terms: -7.03m + 7.03m = 0.00 7.92 + -7.93m = -38.074 + 0.00 7.92 + -7.93m = -38.074 Add '-7.92' to each side of the equation. 7.92 + -7.92 + -7.93m = -38.074 + -7.92 Combine like terms: 7.92 + -7.92 = 0.00 0.00 + -7.93m = -38.074 + -7.92 -7.93m = -38.074 + -7.92 Combine like terms: -38.074 + -7.92 = -45.994 -7.93m = -45.994 Divide each side by '-7.93'. m = 5.8 Simplifying m = 5.8
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