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Simplifying -38 = -2(-43d + -42) Reorder the terms: -38 = -2(-42 + -43d) -38 = (-42 * -2 + -43d * -2) -38 = (84 + 86d) Solving -38 = 84 + 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 = 84 + 86d + -86d Combine like terms: 86d + -86d = 0 -38 + -86d = 84 + 0 -38 + -86d = 84 Add '38' to each side of the equation. -38 + 38 + -86d = 84 + 38 Combine like terms: -38 + 38 = 0 0 + -86d = 84 + 38 -86d = 84 + 38 Combine like terms: 84 + 38 = 122 -86d = 122 Divide each side by '-86'. d = -1.418604651 Simplifying d = -1.418604651
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