The given equation is .
(Distribute negitive 4)
(Multiply:
)
(Distribute 3)
(Multiply:
)
According to subtraction property of equality: a = b then a-c = b-c.
\ (Subtract 3n from each side)
(Apply commutative property of addition: a+b=b+a)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
According to addition property of equality: a=b then a+c = b+c.
\ (Add 8 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
(Divide each side by -7)
(Cancel common terms)
Verify:
\To check the solution, substitute in original equation.
(Substitute
)
(Add:
subtract,
)
(Multiply:
Compare the values, the equation is true. The solution is .
The value of n is