Solve 7-15v-3v-7/-9v+1=1

$$\frac { 7 - 15 v - 3 v - 7 } { - 9 v + 1 } = 1$$

Solve for v

$$v=-\frac{1}{9}\approx -0.111111111$$

Steps for Solving Linear Equation

Variable v cannot be equal to \frac{1}{9} since division by zero is not defined. Multiply both sides of the equation by -9v+1.

$$7-15v-3v-7=-9v+1$$

Combine -15v and -3v to get -18v.

$$7-18v-7=-9v+1$$

Subtract 7 from 7 to get 0.

$$-18v=-9v+1$$

Add 9v to both sides.

$$-18v+9v=1$$

Combine -18v and 9v to get -9v.

$$-9v=1$$

Divide both sides by -9.

$$v=\frac{1}{-9}$$

Fraction \frac{1}{-9} can be rewritten as -\frac{1}{9} by extracting the negative sign.

$$v=-\frac{1}{9}$$