Question

solve for w.
-2.1 - 7.8w - 3.8w = 8.9
choose an action to perform.
ways to rewrite expressions
combine like terms
distribute
perform multiplication
rewrite division as multiplication
rewrite fractions
rewrite signs
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides

Explanation:

Step1: Combine like terms

$-2.1 + (-7.8w - 3.8w) = 8.9$
$-2.1 - 11.6w = 8.9$

Step2: Add 2.1 to both sides

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

Step3: Divide by -11.6

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

Answer:

$w = -\frac{55}{58}$ or $w \approx -0.95$