6a-6=3+7(a+7)

Solution for 6a-6=3+7(a+7) equation:

Simplifying
6a + -6 = 3 + 7(a + 7)

Reorder the terms:
-6 + 6a = 3 + 7(a + 7)

Reorder the terms:
-6 + 6a = 3 + 7(7 + a)
-6 + 6a = 3 + (7 * 7 + a * 7)
-6 + 6a = 3 + (49 + 7a)

Combine like terms: 3 + 49 = 52
-6 + 6a = 52 + 7a

Solving
-6 + 6a = 52 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-6 + 6a + -7a = 52 + 7a + -7a

Combine like terms: 6a + -7a = -1a
-6 + -1a = 52 + 7a + -7a

Combine like terms: 7a + -7a = 0
-6 + -1a = 52 + 0
-6 + -1a = 52

Add '6' to each side of the equation.
-6 + 6 + -1a = 52 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = 52 + 6
-1a = 52 + 6

Combine like terms: 52 + 6 = 58
-1a = 58

Divide each side by '-1'.
a = -58

Simplifying
a = -58