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