Question

simplify the expression using the distributive property of multiplication.
$-2 (8x - 5y + 4z)$
show your work here

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c + d)=ab + ac + ad \). For \( -2(8x - 5y + 4z) \), we distribute \(-2\) to each term inside the parentheses:
\( -2\times8x+(-2)\times(-5y)+(-2)\times4z \)

Step2: Simplify each term

Calculate each product:
\( -2\times8x=-16x \), \( (-2)\times(-5y) = 10y \), \( (-2)\times4z=-8z \)
Combine the simplified terms: \( -16x + 10y-8z \)

Answer:

\( -16x + 10y - 8z \)