The equation is .
(Apply distributive property:
)
(Multiply:
)
(Multiply:
)
(Add:
)
According to subtraction property of equality: Subtract 3w from each side.
\ (Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
According to addition property of equality: Add 1 to each side.
\
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
(Multiply each side by negative one)
(Product of two same signs is positive) \ \
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
(Multiply:
)
(Add:
)
Compare the values, the equation is true.
The value of .