Question

7+11v=9v-9 how do you solve by steps

Answer 1

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
            $\frac{2v}{2}$ = -$\frac{16}{2}$                 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 .