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Simplifying 0.51m + 0.03 = 0.4m + -0.74 Reorder the terms: 0.03 + 0.51m = 0.4m + -0.74 Reorder the terms: 0.03 + 0.51m = -0.74 + 0.4m Solving 0.03 + 0.51m = -0.74 + 0.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.4m' to each side of the equation. 0.03 + 0.51m + -0.4m = -0.74 + 0.4m + -0.4m Combine like terms: 0.51m + -0.4m = 0.11m 0.03 + 0.11m = -0.74 + 0.4m + -0.4m Combine like terms: 0.4m + -0.4m = 0.0 0.03 + 0.11m = -0.74 + 0.0 0.03 + 0.11m = -0.74 Add '-0.03' to each side of the equation. 0.03 + -0.03 + 0.11m = -0.74 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.11m = -0.74 + -0.03 0.11m = -0.74 + -0.03 Combine like terms: -0.74 + -0.03 = -0.77 0.11m = -0.77 Divide each side by '0.11'. m = -7 Simplifying m = -7
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