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Simplifying 0.4d + -4 = 0.1d + 5 Reorder the terms: -4 + 0.4d = 0.1d + 5 Reorder the terms: -4 + 0.4d = 5 + 0.1d Solving -4 + 0.4d = 5 + 0.1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.1d' to each side of the equation. -4 + 0.4d + -0.1d = 5 + 0.1d + -0.1d Combine like terms: 0.4d + -0.1d = 0.3d -4 + 0.3d = 5 + 0.1d + -0.1d Combine like terms: 0.1d + -0.1d = 0.0 -4 + 0.3d = 5 + 0.0 -4 + 0.3d = 5 Add '4' to each side of the equation. -4 + 4 + 0.3d = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 0.3d = 5 + 4 0.3d = 5 + 4 Combine like terms: 5 + 4 = 9 0.3d = 9 Divide each side by '0.3'. d = 30 Simplifying d = 30
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