Solve -55=5left(2{a}_{1}(9)-3right)

$$-55 = 5 \left( 2 { a }_{ 1 } (9)-3 \right)$$

Solve for a_1

$$a_{1}=-\frac{4}{9}\approx -0.444444444$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$\frac{-55}{5}=2a_{1}\times 9-3$$

Divide -55 by 5 to get -11.

$$-11=2a_{1}\times 9-3$$

Multiply 2 and 9 to get 18.

$$-11=18a_{1}-3$$

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

$$18a_{1}-3=-11$$

Add 3 to both sides.

$$18a_{1}=-11+3$$

Add -11 and 3 to get -8.

$$18a_{1}=-8$$

Divide both sides by 18.

$$a_{1}=\frac{-8}{18}$$

Reduce the fraction \frac{-8}{18} to lowest terms by extracting and canceling out 2.

$$a_{1}=-\frac{4}{9}$$