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Simplifying 2d + 20d + -100 = -3d + 800 Reorder the terms: -100 + 2d + 20d = -3d + 800 Combine like terms: 2d + 20d = 22d -100 + 22d = -3d + 800 Reorder the terms: -100 + 22d = 800 + -3d Solving -100 + 22d = 800 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -100 + 22d + 3d = 800 + -3d + 3d Combine like terms: 22d + 3d = 25d -100 + 25d = 800 + -3d + 3d Combine like terms: -3d + 3d = 0 -100 + 25d = 800 + 0 -100 + 25d = 800 Add '100' to each side of the equation. -100 + 100 + 25d = 800 + 100 Combine like terms: -100 + 100 = 0 0 + 25d = 800 + 100 25d = 800 + 100 Combine like terms: 800 + 100 = 900 25d = 900 Divide each side by '25'. d = 36 Simplifying d = 36
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