The equation is .
Apply subtraction property of equality: Subtract 3w from each side.
\Apply commutative property of addition: .
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
Apply subtraction property of equality: Subtract 2 from each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 4.
\ (Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Add:
)
Compare the values, the equation is true.
The solution is .