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Simplifying (6d + 9) = (10d + -27) Reorder the terms: (9 + 6d) = (10d + -27) Remove parenthesis around (9 + 6d) 9 + 6d = (10d + -27) Reorder the terms: 9 + 6d = (-27 + 10d) Remove parenthesis around (-27 + 10d) 9 + 6d = -27 + 10d Solving 9 + 6d = -27 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 9 + 6d + -10d = -27 + 10d + -10d Combine like terms: 6d + -10d = -4d 9 + -4d = -27 + 10d + -10d Combine like terms: 10d + -10d = 0 9 + -4d = -27 + 0 9 + -4d = -27 Add '-9' to each side of the equation. 9 + -9 + -4d = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -4d = -27 + -9 -4d = -27 + -9 Combine like terms: -27 + -9 = -36 -4d = -36 Divide each side by '-4'. d = 9 Simplifying d = 9
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