The given equation is
(Using distributive property: a (b+c) =ab+ac)
(Multiply: 12(3) =36; 2(5) =10)
(Using commutative property: a+b=b+a)
(Subtract:
)
(Add r to each side)
(Using commutative property: a+b=b+a)
(Add:
)
(Subtract 36 from each side)
(Subtract:
)
(Divide each side by 13)
(Cancel common terms)
(Cancel common terms)
Verify:
\To check the solution substitute in original equation.
(Substitute
)
(Add:
)
(Multiply:
)
(Add:
)
Compare the values, the equation is true. The solution is .
The value of r is .