6b+6-b=6(b-6)+7

Solution for 6b+6-b=6(b-6)+7 equation:

Simplifying
6b + 6 + -1b = 6(b + -6) + 7

Reorder the terms:
6 + 6b + -1b = 6(b + -6) + 7

Combine like terms: 6b + -1b = 5b
6 + 5b = 6(b + -6) + 7

Reorder the terms:
6 + 5b = 6(-6 + b) + 7
6 + 5b = (-6 * 6 + b * 6) + 7
6 + 5b = (-36 + 6b) + 7

Reorder the terms:
6 + 5b = -36 + 7 + 6b

Combine like terms: -36 + 7 = -29
6 + 5b = -29 + 6b

Solving
6 + 5b = -29 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
6 + 5b + -6b = -29 + 6b + -6b

Combine like terms: 5b + -6b = -1b
6 + -1b = -29 + 6b + -6b

Combine like terms: 6b + -6b = 0
6 + -1b = -29 + 0
6 + -1b = -29

Add '-6' to each side of the equation.
6 + -6 + -1b = -29 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = -29 + -6
-1b = -29 + -6

Combine like terms: -29 + -6 = -35
-1b = -35

Divide each side by '-1'.
b = 35

Simplifying
b = 35