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

Solution for 34+b=2(6-3b)+1 equation:

Simplifying
34 + b = 2(6 + -3b) + 1
34 + b = (6 * 2 + -3b * 2) + 1
34 + b = (12 + -6b) + 1

Reorder the terms:
34 + b = 12 + 1 + -6b

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

Solving
34 + b = 13 + -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.
34 + b + 6b = 13 + -6b + 6b

Combine like terms: b + 6b = 7b
34 + 7b = 13 + -6b + 6b

Combine like terms: -6b + 6b = 0
34 + 7b = 13 + 0
34 + 7b = 13

Add '-34' to each side of the equation.
34 + -34 + 7b = 13 + -34

Combine like terms: 34 + -34 = 0
0 + 7b = 13 + -34
7b = 13 + -34

Combine like terms: 13 + -34 = -21
7b = -21

Divide each side by '7'.
b = -3

Simplifying
b = -3