Question

solving linear equations in a variety of forms
-2.1 - 7.8w - 3.8w = 8.9
enter the combined term for each bucket.
-2.1
enter the combined term:
-7.8w
-3.8w
add bucket
enter the result.
-11.6w = 8.9

Explanation:

Step1: Combine like variable terms

$-7.8w - 3.8w = (-7.8 - 3.8)w = -11.6w$

Step2: Rewrite the simplified equation

$-2.1 - 11.6w = 8.9$

Step3: Isolate the variable term

$-11.6w = 8.9 + 2.1$
$-11.6w = 11$

Step4: Solve for $w$

$w = \frac{11}{-11.6} = -\frac{110}{116} = -\frac{55}{58} \approx -0.95$

Answer:

Combined constant term: $-2.1$
Combined variable term: $-11.6w$
Final value of $w$: $-\frac{55}{58}$ (or approximately $-0.95$)