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Simplifying 4 = 0.5(3d + -5) Reorder the terms: 4 = 0.5(-5 + 3d) 4 = (-5 * 0.5 + 3d * 0.5) 4 = (-2.5 + 1.5d) Solving 4 = -2.5 + 1.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.5d' to each side of the equation. 4 + -1.5d = -2.5 + 1.5d + -1.5d Combine like terms: 1.5d + -1.5d = 0.0 4 + -1.5d = -2.5 + 0.0 4 + -1.5d = -2.5 Add '-4' to each side of the equation. 4 + -4 + -1.5d = -2.5 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5d = -2.5 + -4 -1.5d = -2.5 + -4 Combine like terms: -2.5 + -4 = -6.5 -1.5d = -6.5 Divide each side by '-1.5'. d = 4.333333333 Simplifying d = 4.333333333
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