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