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Simplifying 5 + 1.5(2d + -1) = -9 Reorder the terms: 5 + 1.5(-1 + 2d) = -9 5 + (-1 * 1.5 + 2d * 1.5) = -9 5 + (-1.5 + 3d) = -9 Combine like terms: 5 + -1.5 = 3.5 3.5 + 3d = -9 Solving 3.5 + 3d = -9 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 = -9 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3d = -9 + -3.5 3d = -9 + -3.5 Combine like terms: -9 + -3.5 = -12.5 3d = -12.5 Divide each side by '3'. d = -4.166666667 Simplifying d = -4.166666667
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