42=4(a+6)

Solution for 42=4(a+6) equation:

Simplifying
42 = 4(a + 6)

Reorder the terms:
42 = 4(6 + a)
42 = (6 * 4 + a * 4)
42 = (24 + 4a)

Solving
42 = 24 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
42 + -4a = 24 + 4a + -4a

Combine like terms: 4a + -4a = 0
42 + -4a = 24 + 0
42 + -4a = 24

Add '-42' to each side of the equation.
42 + -42 + -4a = 24 + -42

Combine like terms: 42 + -42 = 0
0 + -4a = 24 + -42
-4a = 24 + -42

Combine like terms: 24 + -42 = -18
-4a = -18

Divide each side by '-4'.
a = 4.5

Simplifying
a = 4.5