Solve 7v+2-2(-8v-1)=7(v-2)

$$7 v + 2 - 2 ( - 8 v - 1 ) = 7 ( v - 2 )$$

Solve for v

$$v = -\frac{9}{8} = -1\frac{1}{8} = -1.125$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by -8v-1.

$$7v+2+16v+2=7\left(v-2\right)$$

Combine 7v and 16v to get 23v.

$$23v+2+2=7\left(v-2\right)$$

Add 2 and 2 to get 4.

$$23v+4=7\left(v-2\right)$$

Use the distributive property to multiply 7 by v-2.

$$23v+4=7v-14$$

Subtract 7v from both sides.

$$23v+4-7v=-14$$

Combine 23v and -7v to get 16v.

$$16v+4=-14$$

Subtract 4 from both sides.

$$16v=-14-4$$

Subtract 4 from -14 to get -18.

$$16v=-18$$

Divide both sides by 16.

$$v=\frac{-18}{16}$$

Reduce the fraction \frac{-18}{16} to lowest terms by extracting and canceling out 2.

$$v=-\frac{9}{8}$$