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Simplifying 5 + 1.2(2d + -1) = 0.5 Reorder the terms: 5 + 1.2(-1 + 2d) = 0.5 5 + (-1 * 1.2 + 2d * 1.2) = 0.5 5 + (-1.2 + 2.4d) = 0.5 Combine like terms: 5 + -1.2 = 3.8 3.8 + 2.4d = 0.5 Solving 3.8 + 2.4d = 0.5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + 2.4d = 0.5 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 2.4d = 0.5 + -3.8 2.4d = 0.5 + -3.8 Combine like terms: 0.5 + -3.8 = -3.3 2.4d = -3.3 Divide each side by '2.4'. d = -1.375 Simplifying d = -1.375
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