Solve beta_{6}=1/2(16)(7+b_{2})

$$\beta _ { 6 } = \frac { 1 } { 2 } ( 16 ) ( 7 + b _ { 2 } )$$

Solve for b_2

$$b_{2}=\frac{\beta _{6}-56}{8}$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 16 to get 8.

$$\beta _{6}=8\left(7+b_{2}\right)$$

Use the distributive property to multiply 8 by 7+b_{2}.

$$\beta _{6}=56+8b_{2}$$

Swap sides so that all variable terms are on the left hand side.

$$56+8b_{2}=\beta _{6}$$

Subtract 56 from both sides.

$$8b_{2}=\beta _{6}-56$$

Divide both sides by 8.

$$\frac{8b_{2}}{8}=\frac{\beta _{6}-56}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$b_{2}=\frac{\beta _{6}-56}{8}$$

Divide \beta _{6}-56 by 8.

$$b_{2}=\frac{\beta _{6}}{8}-7$$

Solve for β_6

$$\beta _{6}=8\left(b_{2}+7\right)$$

Solution Steps

Multiply \frac{1}{2} and 16 to get 8.

$$\beta _{6}=8\left(7+b_{2}\right)$$

Use the distributive property to multiply 8 by 7+b_{2}.

$$\beta _{6}=56+8b_{2}$$