Solve 2u/3+3/6(8-n)=(-4/3)^3+1

$$\frac { 2 u } { 3 } + \frac { 3 } { 6 } ( 8 - n ) = ( - \frac { 4 } { 3 } ) ^ { 3 } + 1$$

Solve for n

$$n=\frac{4u}{3}+\frac{290}{27}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\times 2u+3\left(8-n\right)=6\left(-\frac{4}{3}\right)^{3}+6$$

Multiply 2 and 2 to get 4.

$$4u+3\left(8-n\right)=6\left(-\frac{4}{3}\right)^{3}+6$$

Use the distributive property to multiply 3 by 8-n.

$$4u+24-3n=6\left(-\frac{4}{3}\right)^{3}+6$$

Calculate -\frac{4}{3} to the power of 3 and get -\frac{64}{27}.

$$4u+24-3n=6\left(-\frac{64}{27}\right)+6$$

Multiply 6 and -\frac{64}{27} to get -\frac{128}{9}.

$$4u+24-3n=-\frac{128}{9}+6$$

Add -\frac{128}{9} and 6 to get -\frac{74}{9}.

$$4u+24-3n=-\frac{74}{9}$$

Subtract 4u from both sides.

$$24-3n=-\frac{74}{9}-4u$$

Subtract 24 from both sides.

$$-3n=-\frac{74}{9}-4u-24$$

Subtract 24 from -\frac{74}{9} to get -\frac{290}{9}.

$$-3n=-\frac{290}{9}-4u$$

The equation is in standard form.

$$-3n=-4u-\frac{290}{9}$$

Divide both sides by -3.

$$\frac{-3n}{-3}=\frac{-4u-\frac{290}{9}}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$n=\frac{-4u-\frac{290}{9}}{-3}$$

Divide -\frac{290}{9}-4u by -3.

$$n=\frac{4u}{3}+\frac{290}{27}$$

Solve for u

$$u=\frac{3n}{4}-\frac{145}{18}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\times 2u+3\left(8-n\right)=6\left(-\frac{4}{3}\right)^{3}+6$$

Multiply 2 and 2 to get 4.

$$4u+3\left(8-n\right)=6\left(-\frac{4}{3}\right)^{3}+6$$

Use the distributive property to multiply 3 by 8-n.

$$4u+24-3n=6\left(-\frac{4}{3}\right)^{3}+6$$

Calculate -\frac{4}{3} to the power of 3 and get -\frac{64}{27}.

$$4u+24-3n=6\left(-\frac{64}{27}\right)+6$$

Multiply 6 and -\frac{64}{27} to get -\frac{128}{9}.

$$4u+24-3n=-\frac{128}{9}+6$$

Add -\frac{128}{9} and 6 to get -\frac{74}{9}.

$$4u+24-3n=-\frac{74}{9}$$

Subtract 24 from both sides.

$$4u-3n=-\frac{74}{9}-24$$

Subtract 24 from -\frac{74}{9} to get -\frac{290}{9}.

$$4u-3n=-\frac{290}{9}$$

Add 3n to both sides.

$$4u=-\frac{290}{9}+3n$$

The equation is in standard form.

$$4u=3n-\frac{290}{9}$$

Divide both sides by 4.

$$\frac{4u}{4}=\frac{3n-\frac{290}{9}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$u=\frac{3n-\frac{290}{9}}{4}$$

Divide -\frac{290}{9}+3n by 4.

$$u=\frac{3n}{4}-\frac{145}{18}$$