-252=-6+6(1+7a)

Solution for -252=-6+6(1+7a) equation:

Simplifying
-252 = -6 + 6(1 + 7a)
-252 = -6 + (1 * 6 + 7a * 6)
-252 = -6 + (6 + 42a)

Combine like terms: -6 + 6 = 0
-252 = 0 + 42a
-252 = 42a

Solving
-252 = 42a

Solving for variable 'a'.

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

Add '-42a' to each side of the equation.
-252 + -42a = 42a + -42a

Combine like terms: 42a + -42a = 0
-252 + -42a = 0

Add '252' to each side of the equation.
-252 + 252 + -42a = 0 + 252

Combine like terms: -252 + 252 = 0
0 + -42a = 0 + 252
-42a = 0 + 252

Combine like terms: 0 + 252 = 252
-42a = 252

Divide each side by '-42'.
a = -6

Simplifying
a = -6