Question

1. 0.15w + 0.35 = 0.22w - 0.14

Explanation:

Step1: Combine like - terms on both sides

Combine the terms with \(w\) on the left - hand side and the constant terms on the right - hand side.
\(0.15w+0.35 = 0.22w - 0.14\) can be rewritten as \(0.35 + 0.14=0.22w-0.15w\).

Step2: Calculate the sums

Calculate the sum of the constants on the left and the sum of the \(w\) terms on the right.
\(0.35 + 0.14 = 0.49\) and \(0.22w-0.15w = 0.07w\). So we have \(0.49 = 0.07w\).

Step3: Solve for \(w\)

Divide both sides of the equation by \(0.07\) to isolate \(w\).
\(w=\frac{0.49}{0.07}\).
\(w = 7\)

Answer:

\(w = 7\)