Solve 4.1+5.3(v+6.16)=-7.88(-6.1v-1.5)

$$4.1 + 5.3 ( v + 6.16 ) = - 7.88 ( - 6.1 v - 1.5 )$$

Solve for v

$$v=\frac{1558}{2673}\approx 0.582865694$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5.3 by v+6.16.

$$4.1+5.3v+32.648=-7.88\left(-6.1v-1.5\right)$$

Add 4.1 and 32.648 to get 36.748.

$$36.748+5.3v=-7.88\left(-6.1v-1.5\right)$$

Use the distributive property to multiply -7.88 by -6.1v-1.5.

$$36.748+5.3v=48.068v+11.82$$

Subtract 48.068v from both sides.

$$36.748+5.3v-48.068v=11.82$$

Combine 5.3v and -48.068v to get -42.768v.

$$36.748-42.768v=11.82$$

Subtract 36.748 from both sides.

$$-42.768v=11.82-36.748$$

Subtract 36.748 from 11.82 to get -24.928.

$$-42.768v=-24.928$$

Divide both sides by -42.768.

$$v=\frac{-24.928}{-42.768}$$

Expand \frac{-24.928}{-42.768} by multiplying both numerator and the denominator by 1000.

$$v=\frac{-24928}{-42768}$$

Reduce the fraction \frac{-24928}{-42768} to lowest terms by extracting and canceling out -16.

$$v=\frac{1558}{2673}$$