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Simplifying 3d + (9 + -2d) = 51 Remove parenthesis around (9 + -2d) 3d + 9 + -2d = 51 Reorder the terms: 9 + 3d + -2d = 51 Combine like terms: 3d + -2d = 1d 9 + 1d = 51 Solving 9 + 1d = 51 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1d = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 1d = 51 + -9 1d = 51 + -9 Combine like terms: 51 + -9 = 42 1d = 42 Divide each side by '1'. d = 42 Simplifying d = 42
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