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Simplifying 3d + -0.5(2d + -4) = -1.25(d + 4) Reorder the terms: 3d + -0.5(-4 + 2d) = -1.25(d + 4) 3d + (-4 * -0.5 + 2d * -0.5) = -1.25(d + 4) 3d + (2 + -1d) = -1.25(d + 4) Reorder the terms: 2 + 3d + -1d = -1.25(d + 4) Combine like terms: 3d + -1d = 2d 2 + 2d = -1.25(d + 4) Reorder the terms: 2 + 2d = -1.25(4 + d) 2 + 2d = (4 * -1.25 + d * -1.25) 2 + 2d = (-5 + -1.25d) Solving 2 + 2d = -5 + -1.25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1.25d' to each side of the equation. 2 + 2d + 1.25d = -5 + -1.25d + 1.25d Combine like terms: 2d + 1.25d = 3.25d 2 + 3.25d = -5 + -1.25d + 1.25d Combine like terms: -1.25d + 1.25d = 0.00 2 + 3.25d = -5 + 0.00 2 + 3.25d = -5 Add '-2' to each side of the equation. 2 + -2 + 3.25d = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 3.25d = -5 + -2 3.25d = -5 + -2 Combine like terms: -5 + -2 = -7 3.25d = -7 Divide each side by '3.25'. d = -2.153846154 Simplifying d = -2.153846154
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