Solve 1*(n-7/3)/2+(n-7/3)*2/2=2

$$\frac { 1 \cdot ( n - \frac { 7 } { 3 } ) } { 2 } + \frac { ( n - \frac { 7 } { 3 } ) \cdot 2 } { 2 } = 2$$

Solve for n

$$n = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$1\left(n-\frac{7}{3}\right)+\left(n-\frac{7}{3}\right)\times 2=4$$

Use the distributive property to multiply 1 by n-\frac{7}{3}.

$$n-\frac{7}{3}+\left(n-\frac{7}{3}\right)\times 2=4$$

Use the distributive property to multiply n-\frac{7}{3} by 2.

$$n-\frac{7}{3}+2n-\frac{7}{3}\times 2=4$$

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

$$n-\frac{7}{3}+2n+\frac{-7\times 2}{3}=4$$

Multiply -7 and 2 to get -14.

$$n-\frac{7}{3}+2n+\frac{-14}{3}=4$$

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

$$n-\frac{7}{3}+2n-\frac{14}{3}=4$$

Combine n and 2n to get 3n.

$$3n-\frac{7}{3}-\frac{14}{3}=4$$

Since -\frac{7}{3} and \frac{14}{3} have the same denominator, subtract them by subtracting their numerators.

$$3n+\frac{-7-14}{3}=4$$

Subtract 14 from -7 to get -21.

$$3n+\frac{-21}{3}=4$$

Divide -21 by 3 to get -7.

$$3n-7=4$$

Add 7 to both sides.

$$3n=4+7$$

Add 4 and 7 to get 11.

$$3n=11$$

Divide both sides by 3.

$$n=\frac{11}{3}$$