The equation is .
According to Subtraction property of equality: Subtract 7k from each side.
\ (Apply commutative property of of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
According to addition property of equality: Add 5 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Subtract:
)
Compare the values, the equation is true.
The value of .