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Simplifying 0.2(d + -6) = 0.3d + 5 + -3 + 0.01d Reorder the terms: 0.2(-6 + d) = 0.3d + 5 + -3 + 0.01d (-6 * 0.2 + d * 0.2) = 0.3d + 5 + -3 + 0.01d (-1.2 + 0.2d) = 0.3d + 5 + -3 + 0.01d Reorder the terms: -1.2 + 0.2d = 5 + -3 + 0.3d + 0.01d Combine like terms: 5 + -3 = 2 -1.2 + 0.2d = 2 + 0.3d + 0.01d Combine like terms: 0.3d + 0.01d = 0.31d -1.2 + 0.2d = 2 + 0.31d Solving -1.2 + 0.2d = 2 + 0.31d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.31d' to each side of the equation. -1.2 + 0.2d + -0.31d = 2 + 0.31d + -0.31d Combine like terms: 0.2d + -0.31d = -0.11d -1.2 + -0.11d = 2 + 0.31d + -0.31d Combine like terms: 0.31d + -0.31d = 0.00 -1.2 + -0.11d = 2 + 0.00 -1.2 + -0.11d = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.11d = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.11d = 2 + 1.2 -0.11d = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 -0.11d = 3.2 Divide each side by '-0.11'. d = -29.09090909 Simplifying d = -29.09090909
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