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Simplifying 1.5(2d + -1) + 5 = 0.5 Reorder the terms: 1.5(-1 + 2d) + 5 = 0.5 (-1 * 1.5 + 2d * 1.5) + 5 = 0.5 (-1.5 + 3d) + 5 = 0.5 Reorder the terms: -1.5 + 5 + 3d = 0.5 Combine like terms: -1.5 + 5 = 3.5 3.5 + 3d = 0.5 Solving 3.5 + 3d = 0.5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 3d = 0.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3d = 0.5 + -3.5 3d = 0.5 + -3.5 Combine like terms: 0.5 + -3.5 = -3 3d = -3 Divide each side by '3'. d = -1 Simplifying d = -1
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