Solve n=2^-3+3/8-61/2*2/13es

$$n = 2 ^ { - 3 } + \frac { 3 } { 8 } - 6 \frac { 1 } { 2 } \cdot \frac { 2 } { 13 } es$$

Solve for n

$$n=\frac{1}{2}-es$$

Solution Steps

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$n=\frac{1}{8}+\frac{3}{8}-\frac{6\times 2+1}{2}\times \frac{2}{13}es$$

Add \frac{1}{8} and \frac{3}{8} to get \frac{1}{2}.

$$n=\frac{1}{2}-\frac{6\times 2+1}{2}\times \frac{2}{13}es$$

Multiply 6 and 2 to get 12.

$$n=\frac{1}{2}-\frac{12+1}{2}\times \frac{2}{13}es$$

Add 12 and 1 to get 13.

$$n=\frac{1}{2}-\frac{13}{2}\times \frac{2}{13}es$$

Multiply \frac{13}{2} and \frac{2}{13} to get 1.

$$n=\frac{1}{2}-es$$

Reorder the terms.

$$n=-es+\frac{1}{2}$$

Solve for s

$$s=\frac{1-2n}{2e}$$

Steps for Solving Linear Equation

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$n=\frac{1}{8}+\frac{3}{8}-\frac{6\times 2+1}{2}\times \frac{2}{13}es$$

Add \frac{1}{8} and \frac{3}{8} to get \frac{1}{2}.

$$n=\frac{1}{2}-\frac{6\times 2+1}{2}\times \frac{2}{13}es$$

Multiply 6 and 2 to get 12.

$$n=\frac{1}{2}-\frac{12+1}{2}\times \frac{2}{13}es$$

Add 12 and 1 to get 13.

$$n=\frac{1}{2}-\frac{13}{2}\times \frac{2}{13}es$$

Multiply \frac{13}{2} and \frac{2}{13} to get 1.

$$n=\frac{1}{2}-es$$

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

$$\frac{1}{2}-es=n$$

Subtract \frac{1}{2} from both sides.

$$-es=n-\frac{1}{2}$$

The equation is in standard form.

$$\left(-e\right)s=n-\frac{1}{2}$$

Divide both sides by -e.

$$\frac{\left(-e\right)s}{-e}=\frac{n-\frac{1}{2}}{-e}$$

Dividing by -e undoes the multiplication by -e.

$$s=\frac{n-\frac{1}{2}}{-e}$$

Divide n-\frac{1}{2} by -e.

$$s=-\frac{2n-1}{2e}$$