Question

-2.1 - 7.8w - 3.8w = 8.9\
-11.6w - 2.1 = 8.9\
to perform.\
ways to rewrite expressions\
combine like terms\tdistribute\
perform multiplication\trewrite division as multiplication\
rewrite fractions\trewrite signs\
equation transformations\
add to both sides\
subtract from both sides\
multiply both sides\
divide both sides\
hints\
tools\
desk 1

Explanation:

Step1: Combine like terms (given)

$-11.6w - 2.1 = 8.9$

Step2: Add 2.1 to both sides

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

Step3: Divide by -11.6 on both sides

$w = \frac{11}{-11.6}$

Step4: Simplify the fraction

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

Answer:

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