Question

solve for w.
\\(\frac{7}{w + 6} = -2\\)
simplify your answer as much as possible.
\\(w = \\)

Explanation:

Step1: Eliminate denominator

Multiply both sides by $w+6$:
$7 = -2(w+6)$

Step2: Expand right-hand side

Distribute the $-2$:
$7 = -2w - 12$

Step3: Isolate variable term

Add 12 to both sides:
$7 + 12 = -2w$
$19 = -2w$

Step4: Solve for w

Divide both sides by $-2$:
$w = \frac{19}{-2} = -\frac{19}{2}$

Answer:

$w = -\frac{19}{2}$