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Simplifying -38 = -2 + -1(-43d + -24) Reorder the terms: -38 = -2 + -1(-24 + -43d) -38 = -2 + (-24 * -1 + -43d * -1) -38 = -2 + (24 + 43d) Combine like terms: -2 + 24 = 22 -38 = 22 + 43d Solving -38 = 22 + 43d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-43d' to each side of the equation. -38 + -43d = 22 + 43d + -43d Combine like terms: 43d + -43d = 0 -38 + -43d = 22 + 0 -38 + -43d = 22 Add '38' to each side of the equation. -38 + 38 + -43d = 22 + 38 Combine like terms: -38 + 38 = 0 0 + -43d = 22 + 38 -43d = 22 + 38 Combine like terms: 22 + 38 = 60 -43d = 60 Divide each side by '-43'. d = -1.395348837 Simplifying d = -1.395348837
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