Solve 300=32a/20+(1500-20)*9/20

$$300 = \frac { 32 a } { 20 } + \frac { ( 1500 - 20 ) \times 9 } { 20 }$$

Solve for a

$$a = -\frac{915}{4} = -228\frac{3}{4} = -228.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20.

$$6000=32a+\left(1500-20\right)\times 9$$

Subtract 20 from 1500 to get 1480.

$$6000=32a+1480\times 9$$

Multiply 1480 and 9 to get 13320.

$$6000=32a+13320$$

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

$$32a+13320=6000$$

Subtract 13320 from both sides.

$$32a=6000-13320$$

Subtract 13320 from 6000 to get -7320.

$$32a=-7320$$

Divide both sides by 32.

$$a=\frac{-7320}{32}$$

Reduce the fraction \frac{-7320}{32} to lowest terms by extracting and canceling out 8.

$$a=-\frac{915}{4}$$