3a-42=-3(a+2)

Solution for 3a-42=-3(a+2) equation:

Simplifying
3a + -42 = -3(a + 2)

Reorder the terms:
-42 + 3a = -3(a + 2)

Reorder the terms:
-42 + 3a = -3(2 + a)
-42 + 3a = (2 * -3 + a * -3)
-42 + 3a = (-6 + -3a)

Solving
-42 + 3a = -6 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-42 + 3a + 3a = -6 + -3a + 3a

Combine like terms: 3a + 3a = 6a
-42 + 6a = -6 + -3a + 3a

Combine like terms: -3a + 3a = 0
-42 + 6a = -6 + 0
-42 + 6a = -6

Add '42' to each side of the equation.
-42 + 42 + 6a = -6 + 42

Combine like terms: -42 + 42 = 0
0 + 6a = -6 + 42
6a = -6 + 42

Combine like terms: -6 + 42 = 36
6a = 36

Divide each side by '6'.
a = 6

Simplifying
a = 6