The equation is
(Distributive property:a(b + c) = ab + ac)
(Multiply:
)
(Multiply:
)
According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 10a to each side)
(Commutative property: a + b = b + a)
(Additive inverse property:
)
(Add: 8a+10a=18a)
(Additive identity property: a + 0 = a)
According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 4 to each side)
(Additive inverse property:
)
(Add: 50 + 4 = 54)
(Additive identity property: a + 0 = a)
(Divide each side by 18)
(Cancel common terms)
(Divide:
)
Verify the solution:
\To check the solution, substitute in original equation.
(Multiply:
)
(Subtract:
)
(Multiply:
)
Compare the values, the equation is true.
\The value of.