The equation is
Subtraction property of equality: if , then
.
(Subtract 3w from each side)
(Apply commutative property:
)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
(Subtract 2 from each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
(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 .