The given equation is .
Distribute terms using distributive property: a ( b + c ) = ab + ac.
\Distribute terms using distributive property: a ( b c ) = ab
ac.
(Multiply: 3(5) =15 and 6(1) =6)
Apply subtraction property of equality: Subtract 6m from each side
\Rearrange the terms using commutative property of addition: a + b = b + a.
\ (Subtract:
)
Apply addition property of equality: Add 15 to each side.
\ (Add:
)
Apply division property of equality: a = b then .
(Divide each side by negative 3)
(Cancel common terms)
(Divide:
)
Verify:
\To check the solution, substitute in
.
(Add:
)
(Subtract:
)
(Multiply:
)
Compare the values, the equation is true.
The value of m is .