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Simplifying 12d + (4 + -5d) = -52 Remove parenthesis around (4 + -5d) 12d + 4 + -5d = -52 Reorder the terms: 4 + 12d + -5d = -52 Combine like terms: 12d + -5d = 7d 4 + 7d = -52 Solving 4 + 7d = -52 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7d = -52 + -4 Combine like terms: 4 + -4 = 0 0 + 7d = -52 + -4 7d = -52 + -4 Combine like terms: -52 + -4 = -56 7d = -56 Divide each side by '7'. d = -8 Simplifying d = -8
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