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Simplifying 0.1m + 0.008 = 0.06m + -0.172 Reorder the terms: 0.008 + 0.1m = 0.06m + -0.172 Reorder the terms: 0.008 + 0.1m = -0.172 + 0.06m Solving 0.008 + 0.1m = -0.172 + 0.06m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.06m' to each side of the equation. 0.008 + 0.1m + -0.06m = -0.172 + 0.06m + -0.06m Combine like terms: 0.1m + -0.06m = 0.04m 0.008 + 0.04m = -0.172 + 0.06m + -0.06m Combine like terms: 0.06m + -0.06m = 0.00 0.008 + 0.04m = -0.172 + 0.00 0.008 + 0.04m = -0.172 Add '-0.008' to each side of the equation. 0.008 + -0.008 + 0.04m = -0.172 + -0.008 Combine like terms: 0.008 + -0.008 = 0.000 0.000 + 0.04m = -0.172 + -0.008 0.04m = -0.172 + -0.008 Combine like terms: -0.172 + -0.008 = -0.18 0.04m = -0.18 Divide each side by '0.04'. m = -4.5 Simplifying m = -4.5
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