The equation is .
Apply addition property of equality: Add to each side.
(Apply additive inverse property:
)
Apply commutative property of addition: a + b = b + a.
\Combine like terms using distributive property: ab + bc = a (b + c).
\To add the fractions denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 4: 4,8,12,16,........
\Multiples of 8: 8,16,24,32,.....
\The least common multiple of 4 and 8 is 8.
\Rewrite each fraction with a common denominator of 8.
\ (LCM is 8)
(Add: 6 + 1 = 7)
Apply subtraction property of equality: Subtract 16 from each side.
\ (Apply additive inverse property:
)
(Subtract:
)
Apply multiplication property of equality: Multiply each side by 8.
\ (Cancel common terms)
(Multiply:
)
Apply division property of equality: Divide each side by 7.
\ (Cancel common terms)
(Divide:
)
The value of .