Solve S_{n}=28(46+delta0)/2

$$S _ { n } = \frac { 28 ( 46 + \delta 0 ) } { 2 }$$

Solve for S_n

$$S_{n}=14\left(\delta _{0}+46\right)$$

Solution Steps

Use the distributive property to multiply 28 by 46+\delta _{0}.

$$S_{n}=\frac{1288+28\delta _{0}}{2}$$

Divide each term of 1288+28\delta _{0} by 2 to get 644+14\delta _{0}.

$$S_{n}=644+14\delta _{0}$$

Solve for δ_0

$$\delta _{0}=\frac{S_{n}-644}{14}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 28 by 46+\delta _{0}.

$$S_{n}=\frac{1288+28\delta _{0}}{2}$$

Divide each term of 1288+28\delta _{0} by 2 to get 644+14\delta _{0}.

$$S_{n}=644+14\delta _{0}$$

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

$$644+14\delta _{0}=S_{n}$$

Subtract 644 from both sides.

$$14\delta _{0}=S_{n}-644$$

Divide both sides by 14.

$$\frac{14\delta _{0}}{14}=\frac{S_{n}-644}{14}$$

Dividing by 14 undoes the multiplication by 14.

$$\delta _{0}=\frac{S_{n}-644}{14}$$

Divide S_{n}-644 by 14.

$$\delta _{0}=\frac{S_{n}}{14}-46$$