The equation is .
Distribute terms using distributive property: a( b + c) = ab + ac. \ \
(Multiply: 7(1) =7; 3(5) =15)
Apply subtraction property of equality: Subtract 3w from each side.
\Rearrange the terms using commutative property of addition: .
(Subtract:
)
(Subtract 7 from each side)
(Subtract:
)
Apply division property of equality: Divide each side by4.
\ (Cancel common terms)
Verify:
\To check the solution, substitute in original equation.
(Add:
)
(Multiply:
)
Compare the values, the equation is true.
The solution is .