Problem

a) \( 8 x-(3-x) \)
b) \( 3-(8 x-3) \)
c) \( (3 x+2 y)+(5 x-3 y) \)
d) \( (2 y-3 z)-(2 y-5 z) \)

Answer

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Answer

\((2y - 3z) - (2y - 5z) = 2y - 3z - 2y + 5z = - 2z\)

Steps

Step 1 :\(8x - (3 - x) = 8x - 3 + x = 5x + 3\)

Step 2 :\(3 - (8x - 3) = 3 - 8x + 3 = -5x + 6\)

Step 3 :\((3x + 2y) + (5x - 3y) = 3x + 2y + 5x - 3y = 8x - y\)

Step 4 :\((2y - 3z) - (2y - 5z) = 2y - 3z - 2y + 5z = - 2z\)

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