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Simplifying 0.5(2d + 4) = 0.33(4d + -4) Reorder the terms: 0.5(4 + 2d) = 0.33(4d + -4) (4 * 0.5 + 2d * 0.5) = 0.33(4d + -4) (2 + 1d) = 0.33(4d + -4) Reorder the terms: 2 + 1d = 0.33(-4 + 4d) 2 + 1d = (-4 * 0.33 + 4d * 0.33) 2 + 1d = (-1.32 + 1.32d) Solving 2 + 1d = -1.32 + 1.32d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.32d' to each side of the equation. 2 + 1d + -1.32d = -1.32 + 1.32d + -1.32d Combine like terms: 1d + -1.32d = -0.32d 2 + -0.32d = -1.32 + 1.32d + -1.32d Combine like terms: 1.32d + -1.32d = 0.00 2 + -0.32d = -1.32 + 0.00 2 + -0.32d = -1.32 Add '-2' to each side of the equation. 2 + -2 + -0.32d = -1.32 + -2 Combine like terms: 2 + -2 = 0 0 + -0.32d = -1.32 + -2 -0.32d = -1.32 + -2 Combine like terms: -1.32 + -2 = -3.32 -0.32d = -3.32 Divide each side by '-0.32'. d = 10.375 Simplifying d = 10.375
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