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Simplifying 10d + 80 = 5d + 150 Reorder the terms: 80 + 10d = 5d + 150 Reorder the terms: 80 + 10d = 150 + 5d Solving 80 + 10d = 150 + 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. 80 + 10d + -5d = 150 + 5d + -5d Combine like terms: 10d + -5d = 5d 80 + 5d = 150 + 5d + -5d Combine like terms: 5d + -5d = 0 80 + 5d = 150 + 0 80 + 5d = 150 Add '-80' to each side of the equation. 80 + -80 + 5d = 150 + -80 Combine like terms: 80 + -80 = 0 0 + 5d = 150 + -80 5d = 150 + -80 Combine like terms: 150 + -80 = 70 5d = 70 Divide each side by '5'. d = 14 Simplifying d = 14
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