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Simplifying 0.2d + 6 = 0.3d + 5 + -3 + 0.1d Reorder the terms: 6 + 0.2d = 0.3d + 5 + -3 + 0.1d Reorder the terms: 6 + 0.2d = 5 + -3 + 0.3d + 0.1d Combine like terms: 5 + -3 = 2 6 + 0.2d = 2 + 0.3d + 0.1d Combine like terms: 0.3d + 0.1d = 0.4d 6 + 0.2d = 2 + 0.4d Solving 6 + 0.2d = 2 + 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 = 2 + 0.4d + -0.4d Combine like terms: 0.2d + -0.4d = -0.2d 6 + -0.2d = 2 + 0.4d + -0.4d Combine like terms: 0.4d + -0.4d = 0.0 6 + -0.2d = 2 + 0.0 6 + -0.2d = 2 Add '-6' to each side of the equation. 6 + -6 + -0.2d = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -0.2d = 2 + -6 -0.2d = 2 + -6 Combine like terms: 2 + -6 = -4 -0.2d = -4 Divide each side by '-0.2'. d = 20 Simplifying d = 20
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