Question

combining like terms with negative coefficients & distribution
simplify to create an equivalent expression.
19 - 6(-k + 4)
choose 1 answer:
a 6k - 5
b -6k - 5
c 6k + 9
d 6k + 5

Explanation:

Step1: Distribute the -6

We use the distributive property \( a(b + c)=ab + ac \). Here, \( a=-6 \), \( b=-k \), and \( c = 4 \). So we have:
\(19-6(-k + 4)=19+(-6)\times(-k)+(-6)\times4\)
\(=19 + 6k-24\)

Step2: Combine like terms

Now we combine the constant terms \(19\) and \(-24\).
\(19-24=-5\), so the expression becomes:
\(6k+(19 - 24)=6k-5\)

Answer:

A. \(6k - 5\)