-8(1.8a+2.3)=7.5a+35.42

Solution for -8(1.8a+2.3)=7.5a+35.42 equation:

Simplifying
-8(1.8a + 2.3) = 7.5a + 35.42

Reorder the terms:
-8(2.3 + 1.8a) = 7.5a + 35.42
(2.3 * -8 + 1.8a * -8) = 7.5a + 35.42
(-18.4 + -14.4a) = 7.5a + 35.42

Reorder the terms:
-18.4 + -14.4a = 35.42 + 7.5a

Solving
-18.4 + -14.4a = 35.42 + 7.5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7.5a' to each side of the equation.
-18.4 + -14.4a + -7.5a = 35.42 + 7.5a + -7.5a

Combine like terms: -14.4a + -7.5a = -21.9a
-18.4 + -21.9a = 35.42 + 7.5a + -7.5a

Combine like terms: 7.5a + -7.5a = 0.0
-18.4 + -21.9a = 35.42 + 0.0
-18.4 + -21.9a = 35.42

Add '18.4' to each side of the equation.
-18.4 + 18.4 + -21.9a = 35.42 + 18.4

Combine like terms: -18.4 + 18.4 = 0.0
0.0 + -21.9a = 35.42 + 18.4
-21.9a = 35.42 + 18.4

Combine like terms: 35.42 + 18.4 = 53.82
-21.9a = 53.82

Divide each side by '-21.9'.
a = -2.457534247

Simplifying
a = -2.457534247