The given equation is .
(Distribute 12)
(Multiply:
)
(Distribute 2)
(Multiply:
)
(Apply commutative property of addition: a+b=b+a)
(Subtract:
)
According to addition property of equality: Add r to each side.
\ (Apply commutative property of addition: a+b=b+a)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
According to subtraction property of equality: If a = b then a – c = b – c.
\ (Subtract 36 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by 13)
(Cancel common terms)
(Divide:
)
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 .