15(4a-3)+37a=42-111

Solution for 15(4a-3)+37a=42-111 equation:

Simplifying
15(4a + -3) + 37a = 42 + -111

Reorder the terms:
15(-3 + 4a) + 37a = 42 + -111
(-3 * 15 + 4a * 15) + 37a = 42 + -111
(-45 + 60a) + 37a = 42 + -111

Combine like terms: 60a + 37a = 97a
-45 + 97a = 42 + -111

Combine like terms: 42 + -111 = -69
-45 + 97a = -69

Solving
-45 + 97a = -69

Solving for variable 'a'.

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

Add '45' to each side of the equation.
-45 + 45 + 97a = -69 + 45

Combine like terms: -45 + 45 = 0
0 + 97a = -69 + 45
97a = -69 + 45

Combine like terms: -69 + 45 = -24
97a = -24

Divide each side by '97'.
a = -0.2474226804

Simplifying
a = -0.2474226804