Solve 5/6=7n+9/9

$$\frac { 5 } { 6 } = \frac { 7 n + 9 } { 9 }$$

Solve for n

$$n=-\frac{3}{14}\approx -0.214285714$$

Steps for Solving Linear Equation

Multiply both sides by 9.

$$\frac{5}{6}\times 9=7n+9$$

Express \frac{5}{6}\times 9 as a single fraction.

$$\frac{5\times 9}{6}=7n+9$$

Multiply 5 and 9 to get 45.

$$\frac{45}{6}=7n+9$$

Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{15}{2}=7n+9$$

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

$$7n+9=\frac{15}{2}$$

Subtract 9 from both sides.

$$7n=\frac{15}{2}-9$$

Convert 9 to fraction \frac{18}{2}.

$$7n=\frac{15}{2}-\frac{18}{2}$$

Since \frac{15}{2} and \frac{18}{2} have the same denominator, subtract them by subtracting their numerators.

$$7n=\frac{15-18}{2}$$

Subtract 18 from 15 to get -3.

$$7n=-\frac{3}{2}$$

Divide both sides by 7.

$$n=\frac{-\frac{3}{2}}{7}$$

Express \frac{-\frac{3}{2}}{7} as a single fraction.

$$n=\frac{-3}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$n=\frac{-3}{14}$$

Fraction \frac{-3}{14} can be rewritten as -\frac{3}{14} by extracting the negative sign.

$$n=-\frac{3}{14}$$