3(1+6b)+2(7-6b)=1+3b+1+6b

Solution for 3(1+6b)+2(7-6b)=1+3b+1+6b equation:

Simplifying
3(1 + 6b) + 2(7 + -6b) = 1 + 3b + 1 + 6b
(1 * 3 + 6b * 3) + 2(7 + -6b) = 1 + 3b + 1 + 6b
(3 + 18b) + 2(7 + -6b) = 1 + 3b + 1 + 6b
3 + 18b + (7 * 2 + -6b * 2) = 1 + 3b + 1 + 6b
3 + 18b + (14 + -12b) = 1 + 3b + 1 + 6b

Reorder the terms:
3 + 14 + 18b + -12b = 1 + 3b + 1 + 6b

Combine like terms: 3 + 14 = 17
17 + 18b + -12b = 1 + 3b + 1 + 6b

Combine like terms: 18b + -12b = 6b
17 + 6b = 1 + 3b + 1 + 6b

Reorder the terms:
17 + 6b = 1 + 1 + 3b + 6b

Combine like terms: 1 + 1 = 2
17 + 6b = 2 + 3b + 6b

Combine like terms: 3b + 6b = 9b
17 + 6b = 2 + 9b

Solving
17 + 6b = 2 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
17 + 6b + -9b = 2 + 9b + -9b

Combine like terms: 6b + -9b = -3b
17 + -3b = 2 + 9b + -9b

Combine like terms: 9b + -9b = 0
17 + -3b = 2 + 0
17 + -3b = 2

Add '-17' to each side of the equation.
17 + -17 + -3b = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -3b = 2 + -17
-3b = 2 + -17

Combine like terms: 2 + -17 = -15
-3b = -15

Divide each side by '-3'.
b = 5

Simplifying
b = 5