Solve 0.25left(4a-3right)=0.5a-9

$$0.25 \left( 4a-3 \right) = 0.5a-9$$

Solve for a

$$a=-16.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.25 by 4a-3.

$$a-0.75=0.5a-9$$

Subtract 0.5a from both sides.

$$a-0.75-0.5a=-9$$

Combine a and -0.5a to get 0.5a.

$$0.5a-0.75=-9$$

Add 0.75 to both sides.

$$0.5a=-9+0.75$$

Add -9 and 0.75 to get -8.25.

$$0.5a=-8.25$$

Divide both sides by 0.5.

$$a=\frac{-8.25}{0.5}$$

Expand \frac{-8.25}{0.5} by multiplying both numerator and the denominator by 100.

$$a=\frac{-825}{50}$$

Reduce the fraction \frac{-825}{50} to lowest terms by extracting and canceling out 25.

$$a=-\frac{33}{2}$$