Question

what is the simplified form of $2(3x - 4) - 3(2x + 1)$?
a. $6x + 7$
b. $6x + 11$
c. $-11$
d. $6x - 7$

simplify: $3(2y + 4) - 8$
a. $6y - 4$
b. $6y + 4$
c. $6y + 12$
d. $5y + 4$

Explanation:

Step1: Expand the first expression

$2(3x - 4) - 3(2x + 1) = 6x - 8 - 6x - 3$

Step2: Combine like terms

$6x - 6x - 8 - 3 = -11$

Step3: Expand the second expression

$3(2y + 4) - 8 = 6y + 12 - 8$

Step4: Simplify constants

$6y + (12 - 8) = 6y - 4$

Answer:

c. -11
a. 6y - 4