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Simplifying (100 + 5d) + (50 + 7d) = 0 Remove parenthesis around (100 + 5d) 100 + 5d + (50 + 7d) = 0 Remove parenthesis around (50 + 7d) 100 + 5d + 50 + 7d = 0 Reorder the terms: 100 + 50 + 5d + 7d = 0 Combine like terms: 100 + 50 = 150 150 + 5d + 7d = 0 Combine like terms: 5d + 7d = 12d 150 + 12d = 0 Solving 150 + 12d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 12d = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 12d = 0 + -150 12d = 0 + -150 Combine like terms: 0 + -150 = -150 12d = -150 Divide each side by '12'. d = -12.5 Simplifying d = -12.5
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