Solve 41+53(v+616)=-788(-61v-15)

$$41 + 53 ( v + 616 ) = - 788 ( - 61 v - 15 )$$

Solve for v

$$v=\frac{20869}{48015}\approx 0.43463501$$

Steps for Solving Linear Equation

Use the distributive property to multiply 53 by v+616.

$$41+53v+32648=-788\left(-61v-15\right)$$

Add 41 and 32648 to get 32689.

$$32689+53v=-788\left(-61v-15\right)$$

Use the distributive property to multiply -788 by -61v-15.

$$32689+53v=48068v+11820$$

Subtract 48068v from both sides.

$$32689+53v-48068v=11820$$

Combine 53v and -48068v to get -48015v.

$$32689-48015v=11820$$

Subtract 32689 from both sides.

$$-48015v=11820-32689$$

Subtract 32689 from 11820 to get -20869.

$$-48015v=-20869$$

Divide both sides by -48015.

$$v=\frac{-20869}{-48015}$$

Fraction \frac{-20869}{-48015} can be simplified to \frac{20869}{48015} by removing the negative sign from both the numerator and the denominator.

$$v=\frac{20869}{48015}$$