6a-6=7(a-7)

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

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

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

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

Solving
-6 + 6a = -49 + 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 = -49 + 7a + -7a

Combine like terms: 6a + -7a = -1a
-6 + -1a = -49 + 7a + -7a

Combine like terms: 7a + -7a = 0
-6 + -1a = -49 + 0
-6 + -1a = -49

Add '6' to each side of the equation.
-6 + 6 + -1a = -49 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = -49 + 6
-1a = -49 + 6

Combine like terms: -49 + 6 = -43
-1a = -43

Divide each side by '-1'.
a = 43

Simplifying
a = 43