The given equation is .
Distribute terms using distributive property: a (b + c) = ab + ac.
\ (Product of two different signs is positive)
Apply commutative property of addition: a + b = b + a.
\Combine like terms using distributive property: ab + ac = a (b + c).
\ (Add:
2 + 1 =
1)
Apply addition property of equality: If a = b then a + c = b + c.
\ (Add 4w to each side)
(Apply additive inverse property:
)
Apply commutative property of addition: a + b = b + a.
\Combine like terms using distributive property: ab + ac = a (b + c).
\ (Add:
)
Apply addition property of equality: If a = b then a + c = b + c.
\ (Add 2 to each side)
(Apply additive inverse property:
)
(Add:
)
Apply division property of equality: If a = b then .
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
The value of .