Question

1. 0.15w + 0.35 = 0.22w - 0.14

Explanation:

Step1: Isolate w terms on one side

Subtract $0.15w$ from both sides:
$0.15w + 0.35 - 0.15w = 0.22w - 0.14 - 0.15w$
$0.35 = 0.07w - 0.14$

Step2: Isolate constant terms on one side

Add $0.14$ to both sides:
$0.35 + 0.14 = 0.07w - 0.14 + 0.14$
$0.49 = 0.07w$

Step3: Solve for w

Divide both sides by $0.07$:
$w = \frac{0.49}{0.07}$

Answer:

$w = 7$