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Simplifying 5d + -12d + 25 = 46 Reorder the terms: 25 + 5d + -12d = 46 Combine like terms: 5d + -12d = -7d 25 + -7d = 46 Solving 25 + -7d = 46 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -7d = 46 + -25 Combine like terms: 25 + -25 = 0 0 + -7d = 46 + -25 -7d = 46 + -25 Combine like terms: 46 + -25 = 21 -7d = 21 Divide each side by '-7'. d = -3 Simplifying d = -3
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