You're solving this equation for the variable 'v', so the main goal is to isolate it on one side of the equation.
7 + 11v = 9v - 9 Subtract 7 from both sides
7 - 7 + 11v = 9v - 9 - 7 Simplify
11v = 9v - 16 Subtract 9v from both sides
11v - 9v = 9v - 9v - 16 Simplify
2v = -16 Divide both sides by 2
[tex] \frac{2v}{2} [/tex] = -[tex] \frac{16}{2} [/tex] Simplify
v = -8
Check your answer by plugging the value (-8) into the original equation.
7 + 11(-8) = 9(-8) - 9 Simplify the mulitiplication steps
7 + (-88) = -72 - 9 Rewrite 7 + (-88) as 7 - 88
7 - 88 = -72 - 9 Simplify both sides
-81 = -81
The check worked out, so your answer is v = -8 .
