84+78=13b+6-b

Solution for 84+78=13b+6-b equation:

Simplifying
84 + 78 = 13b + 6 + -1b

Combine like terms: 84 + 78 = 162
162 = 13b + 6 + -1b

Reorder the terms:
162 = 6 + 13b + -1b

Combine like terms: 13b + -1b = 12b
162 = 6 + 12b

Solving
162 = 6 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
162 + -12b = 6 + 12b + -12b

Combine like terms: 12b + -12b = 0
162 + -12b = 6 + 0
162 + -12b = 6

Add '-162' to each side of the equation.
162 + -162 + -12b = 6 + -162

Combine like terms: 162 + -162 = 0
0 + -12b = 6 + -162
-12b = 6 + -162

Combine like terms: 6 + -162 = -156
-12b = -156

Divide each side by '-12'.
b = 13

Simplifying
b = 13