Solve v+25/5+v/25+40=0

$$\frac { v + 25 } { 5 } + \frac { v } { 25 } + 40 = 0$$

Solve for v

$$v = -\frac{375}{2} = -187\frac{1}{2} = -187.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 25, the least common multiple of 5,25.

$$5\left(v+25\right)+v+1000=0$$

Use the distributive property to multiply 5 by v+25.

$$5v+125+v+1000=0$$

Combine 5v and v to get 6v.

$$6v+125+1000=0$$

Add 125 and 1000 to get 1125.

$$6v+1125=0$$

Subtract 1125 from both sides. Anything subtracted from zero gives its negation.

$$6v=-1125$$

Divide both sides by 6.

$$v=\frac{-1125}{6}$$

Reduce the fraction \frac{-1125}{6} to lowest terms by extracting and canceling out 3.

$$v=-\frac{375}{2}$$