Solve (20+7.57)(v-0.0648)=(0.082)(353.15)

$$( 20 + 7.57 ) ( v - 0.0648 ) = ( 0.082 ) ( 353.15 )$$

Solve for v

$$v = \frac{7686209}{6892500} = 1\frac{793709}{6892500} \approx 1.115155459$$

Steps for Solving Linear Equation

Add 20 and 7.57 to get 27.57.

$$27.57\left(v-0.0648\right)=0.082\times 353.15$$

Use the distributive property to multiply 27.57 by v-0.0648.

$$27.57v-1.786536=0.082\times 353.15$$

Multiply 0.082 and 353.15 to get 28.9583.

$$27.57v-1.786536=28.9583$$

Add 1.786536 to both sides.

$$27.57v=28.9583+1.786536$$

Add 28.9583 and 1.786536 to get 30.744836.

$$27.57v=30.744836$$

Divide both sides by 27.57.

$$v=\frac{30.744836}{27.57}$$

Expand \frac{30.744836}{27.57} by multiplying both numerator and the denominator by 1000000.

$$v=\frac{30744836}{27570000}$$

Reduce the fraction \frac{30744836}{27570000} to lowest terms by extracting and canceling out 4.

$$v=\frac{7686209}{6892500}$$