7(4a-5)=-42

Solution for 7(4a-5)=-42 equation:

Simplifying
7(4a + -5) = -42

Reorder the terms:
7(-5 + 4a) = -42
(-5 * 7 + 4a * 7) = -42
(-35 + 28a) = -42

Solving
-35 + 28a = -42

Solving for variable 'a'.

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

Add '35' to each side of the equation.
-35 + 35 + 28a = -42 + 35

Combine like terms: -35 + 35 = 0
0 + 28a = -42 + 35
28a = -42 + 35

Combine like terms: -42 + 35 = -7
28a = -7

Divide each side by '28'.
a = -0.25

Simplifying
a = -0.25