Subtract 1/2(z+4)−3(1/4z+1) . give me the CORRECT ANSWERRR

Answer 1

To subtract 1/2(z+4) - 3(1/4z+1), we can use the distributive property:

1/2(z+4) - 3(1/4z+1) = 1/2z + 2 - 3/4z - 3

Next, we can combine like terms by combining the z terms and the constant terms separately:

1/2z - 3/4z + 2 - 3

To combine the z terms, we need to find a common denominator for 1/2 and 3/4. The common denominator is 4:

(2/4)z - (3/4)z + 2 - 3

Simplifying:

(2-3)/4z +2 -3 = -1/4z - 1