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Simplifying 27d + 100 = 67d + -100 Reorder the terms: 100 + 27d = 67d + -100 Reorder the terms: 100 + 27d = -100 + 67d Solving 100 + 27d = -100 + 67d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-67d' to each side of the equation. 100 + 27d + -67d = -100 + 67d + -67d Combine like terms: 27d + -67d = -40d 100 + -40d = -100 + 67d + -67d Combine like terms: 67d + -67d = 0 100 + -40d = -100 + 0 100 + -40d = -100 Add '-100' to each side of the equation. 100 + -100 + -40d = -100 + -100 Combine like terms: 100 + -100 = 0 0 + -40d = -100 + -100 -40d = -100 + -100 Combine like terms: -100 + -100 = -200 -40d = -200 Divide each side by '-40'. d = 5 Simplifying d = 5
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