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Simplifying 0.2d + -6 = 0.4d + 3 Reorder the terms: -6 + 0.2d = 0.4d + 3 Reorder the terms: -6 + 0.2d = 3 + 0.4d Solving -6 + 0.2d = 3 + 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. -6 + 0.2d + -0.4d = 3 + 0.4d + -0.4d Combine like terms: 0.2d + -0.4d = -0.2d -6 + -0.2d = 3 + 0.4d + -0.4d Combine like terms: 0.4d + -0.4d = 0.0 -6 + -0.2d = 3 + 0.0 -6 + -0.2d = 3 Add '6' to each side of the equation. -6 + 6 + -0.2d = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -0.2d = 3 + 6 -0.2d = 3 + 6 Combine like terms: 3 + 6 = 9 -0.2d = 9 Divide each side by '-0.2'. d = -45 Simplifying d = -45
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