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Simplifying 0.2d + -0.12 = 0.4d + 8 Reorder the terms: -0.12 + 0.2d = 0.4d + 8 Reorder the terms: -0.12 + 0.2d = 8 + 0.4d Solving -0.12 + 0.2d = 8 + 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. -0.12 + 0.2d + -0.4d = 8 + 0.4d + -0.4d Combine like terms: 0.2d + -0.4d = -0.2d -0.12 + -0.2d = 8 + 0.4d + -0.4d Combine like terms: 0.4d + -0.4d = 0.0 -0.12 + -0.2d = 8 + 0.0 -0.12 + -0.2d = 8 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.2d = 8 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.2d = 8 + 0.12 -0.2d = 8 + 0.12 Combine like terms: 8 + 0.12 = 8.12 -0.2d = 8.12 Divide each side by '-0.2'. d = -40.6 Simplifying d = -40.6
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