Solve {l}{(6+10)*h/2*10=768}{=}

$$\left. \begin{array}{l}{ \frac { ( 6 + 10 ) \times h } { 2 } \times 10 = 768 }\\{ = }\end{array} \right.$$

Solve for h

$$h = \frac{48}{5} = 9\frac{3}{5} = 9.6$$

Steps for Solving Linear Equation

Divide both sides by 10.

$$\frac{\left(6+10\right)h}{2}=\frac{768}{10}$$

Reduce the fraction \frac{768}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\left(6+10\right)h}{2}=\frac{384}{5}$$

Multiply both sides by 2.

$$\left(6+10\right)h=\frac{384}{5}\times 2$$

Add 6 and 10 to get 16.

$$16h=\frac{384}{5}\times 2$$

Express \frac{384}{5}\times 2 as a single fraction.

$$16h=\frac{384\times 2}{5}$$

Multiply 384 and 2 to get 768.

$$16h=\frac{768}{5}$$

Divide both sides by 16.

$$h=\frac{\frac{768}{5}}{16}$$

Express \frac{\frac{768}{5}}{16} as a single fraction.

$$h=\frac{768}{5\times 16}$$

Multiply 5 and 16 to get 80.

$$h=\frac{768}{80}$$

Reduce the fraction \frac{768}{80} to lowest terms by extracting and canceling out 16.

$$h=\frac{48}{5}$$