Question

you must sname:mondaysimplify$-7(3x - 2y + 4) +6x -2$$2w + \frac{1}{2} (-40w + 12)$

Explanation:

Step1: Distribute -7 to parentheses

$-7(3x - 2y + 4) = -21x + 14y - 28$

Step2: Combine like terms (first expression)

$-21x + 14y - 28 + 6x - 2 = (-21x+6x) + 14y + (-28-2)$
$= -15x + 14y - 30$

Step3: Distribute $\frac{1}{2}$ to parentheses

$\frac{1}{2}(-40w + 12) = -20w + 6$

Step4: Combine like terms (second expression)

$2w - 20w + 6 = (2w-20w) + 6$
$= -18w + 6$

Answer:

1. $-15x + 14y - 30$
2. $-18w + 6$