6. 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)