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Simplifying 38 = 5d + -2 Reorder the terms: 38 = -2 + 5d Solving 38 = -2 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 38 + -5d = -2 + 5d + -5d Combine like terms: 5d + -5d = 0 38 + -5d = -2 + 0 38 + -5d = -2 Add '-38' to each side of the equation. 38 + -38 + -5d = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -5d = -2 + -38 -5d = -2 + -38 Combine like terms: -2 + -38 = -40 -5d = -40 Divide each side by '-5'. d = 8 Simplifying d = 8
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