Solve -55=5(2a_{1}(8)-3)

$$- 55 = 5 ( 2 a _ { 1 } ( 8 ) - 3 )$$

Solve for a_1

$$a_{1}=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$\frac{-55}{5}=2a_{1}\times 8-3$$

Divide -55 by 5 to get -11.

$$-11=2a_{1}\times 8-3$$

Multiply 2 and 8 to get 16.

$$-11=16a_{1}-3$$

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

$$16a_{1}-3=-11$$

Add 3 to both sides.

$$16a_{1}=-11+3$$

Add -11 and 3 to get -8.

$$16a_{1}=-8$$

Divide both sides by 16.

$$a_{1}=\frac{-8}{16}$$

Reduce the fraction \frac{-8}{16} to lowest terms by extracting and canceling out 8.

$$a_{1}=-\frac{1}{2}$$