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Sum of 2a + 4b, 5a + 2c + 2d, -5a - 9b + 4c - d and 11b - 8c - 4d is

  • A.2a - 6b - 2c - 3d
  • B.2a + 6b - 2c - 3d
  • C.2a + 6b + 2c + 3d
  • D.2a - 6b + 2c - 3d

Answer: B

Collect each variable in turn.

\[ a: \ 2 + 5 - 5 = 2 \]

\[ b: \ 4 - 9 + 11 = 6 \]

\[ c: \ 2 + 4 - 8 = -2 \]

\[ d: \ 2 - 1 - 4 = -3 \]

\[ \therefore\ 2a + 6b - 2c - 3d \]

Taking one variable at a time across all four expressions is safer than adding them two at a time.

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