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Simplifying 0.2(d + -4) = 0.5d + 4 + -5 + 0.3d Reorder the terms: 0.2(-4 + d) = 0.5d + 4 + -5 + 0.3d (-4 * 0.2 + d * 0.2) = 0.5d + 4 + -5 + 0.3d (-0.8 + 0.2d) = 0.5d + 4 + -5 + 0.3d Reorder the terms: -0.8 + 0.2d = 4 + -5 + 0.5d + 0.3d Combine like terms: 4 + -5 = -1 -0.8 + 0.2d = -1 + 0.5d + 0.3d Combine like terms: 0.5d + 0.3d = 0.8d -0.8 + 0.2d = -1 + 0.8d Solving -0.8 + 0.2d = -1 + 0.8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.8d' to each side of the equation. -0.8 + 0.2d + -0.8d = -1 + 0.8d + -0.8d Combine like terms: 0.2d + -0.8d = -0.6d -0.8 + -0.6d = -1 + 0.8d + -0.8d Combine like terms: 0.8d + -0.8d = 0.0 -0.8 + -0.6d = -1 + 0.0 -0.8 + -0.6d = -1 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.6d = -1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.6d = -1 + 0.8 -0.6d = -1 + 0.8 Combine like terms: -1 + 0.8 = -0.2 -0.6d = -0.2 Divide each side by '-0.6'. d = 0.3333333333 Simplifying d = 0.3333333333
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