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Simplifying -38 = -2(43d + -24) Reorder the terms: -38 = -2(-24 + 43d) -38 = (-24 * -2 + 43d * -2) -38 = (48 + -86d) Solving -38 = 48 + -86d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '86d' to each side of the equation. -38 + 86d = 48 + -86d + 86d Combine like terms: -86d + 86d = 0 -38 + 86d = 48 + 0 -38 + 86d = 48 Add '38' to each side of the equation. -38 + 38 + 86d = 48 + 38 Combine like terms: -38 + 38 = 0 0 + 86d = 48 + 38 86d = 48 + 38 Combine like terms: 48 + 38 = 86 86d = 86 Divide each side by '86'. d = 1 Simplifying d = 1
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