Question

solve.
$8w + 5 = 4(2w + 1)$
$w = 0$
no solution
$w = -\frac{1}{4}$
infinitely many solutions

Explanation:

Step1: Expand right side

$8w + 5 = 8w + 4$

Step2: Subtract $8w$ from both sides

$5 = 4$

Step3: Analyze result

Contradiction, so no solution.

Answer:

No solution