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Simplifying 8d + 96 = 22d + -100 Reorder the terms: 96 + 8d = 22d + -100 Reorder the terms: 96 + 8d = -100 + 22d Solving 96 + 8d = -100 + 22d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22d' to each side of the equation. 96 + 8d + -22d = -100 + 22d + -22d Combine like terms: 8d + -22d = -14d 96 + -14d = -100 + 22d + -22d Combine like terms: 22d + -22d = 0 96 + -14d = -100 + 0 96 + -14d = -100 Add '-96' to each side of the equation. 96 + -96 + -14d = -100 + -96 Combine like terms: 96 + -96 = 0 0 + -14d = -100 + -96 -14d = -100 + -96 Combine like terms: -100 + -96 = -196 -14d = -196 Divide each side by '-14'. d = 14 Simplifying d = 14
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