Question

linear equations
solving a two - step equation with signed decimals
solve for w.
-8w + 14.9 = 2.1
w =

Explanation:

Step1: Subtract 14.9 from both sides

To isolate the term with \( w \), we subtract 14.9 from both sides of the equation \(-8w + 14.9 = 2.1\). This gives us:

$$ -8w + 14.9 - 14.9 = 2.1 - 14.9 $$

Simplifying both sides, we have:

$$ -8w = -12.8 $$

Step2: Divide both sides by -8

To solve for \( w \), we divide both sides of the equation \(-8w = -12.8\) by -8. This gives us:

$$ w = \frac{-12.8}{-8} $$

Simplifying the right-hand side, we get:

$$ w = 1.6 $$

Answer:

\( w = 1.6 \)