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Simplifying 0.49 + -0.06 + 0.1d = 0.4 + d Combine like terms: 0.49 + -0.06 = 0.43 0.43 + 0.1d = 0.4 + d Solving 0.43 + 0.1d = 0.4 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 0.43 + 0.1d + -1d = 0.4 + d + -1d Combine like terms: 0.1d + -1d = -0.9d 0.43 + -0.9d = 0.4 + d + -1d Combine like terms: d + -1d = 0 0.43 + -0.9d = 0.4 + 0 0.43 + -0.9d = 0.4 Add '-0.43' to each side of the equation. 0.43 + -0.43 + -0.9d = 0.4 + -0.43 Combine like terms: 0.43 + -0.43 = 0.00 0.00 + -0.9d = 0.4 + -0.43 -0.9d = 0.4 + -0.43 Combine like terms: 0.4 + -0.43 = -0.03 -0.9d = -0.03 Divide each side by '-0.9'. d = 0.03333333333 Simplifying d = 0.03333333333
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