The given equation is .
(distribute 7)
(Multiply:
)
(distribute 2)
(Multiply:
)
(Apply commutative property of addition: a+b=b+a)
(Add:
)
According to subtraction property of equality: Subtract 4t 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: If a = b then a + c = b + c.
\ (Add 21 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
(Divide each side by 3)
(Cancel common terms)
Verify:
\To check the solution substitute in original equation.
(Substitute
)
(Subtract:
)
(Multiply:
)
(Add:
)
Compare the values, the equation is true. The solution is .
The value of t is.