9*(3b+1)-14*(b-3)=

Solution for 9*(3b+1)-14*(b-3)= equation:

Simplifying
9(3b + 1) + -14(b + -3) = 0

Reorder the terms:
9(1 + 3b) + -14(b + -3) = 0
(1 * 9 + 3b * 9) + -14(b + -3) = 0
(9 + 27b) + -14(b + -3) = 0

Reorder the terms:
9 + 27b + -14(-3 + b) = 0
9 + 27b + (-3 * -14 + b * -14) = 0
9 + 27b + (42 + -14b) = 0

Reorder the terms:
9 + 42 + 27b + -14b = 0

Combine like terms: 9 + 42 = 51
51 + 27b + -14b = 0

Combine like terms: 27b + -14b = 13b
51 + 13b = 0

Solving
51 + 13b = 0

Solving for variable 'b'.

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

Add '-51' to each side of the equation.
51 + -51 + 13b = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 13b = 0 + -51
13b = 0 + -51

Combine like terms: 0 + -51 = -51
13b = -51

Divide each side by '13'.
b = -3.923076923

Simplifying
b = -3.923076923