-3(3b+2)+(10b-9)=0

Solution for -3(3b+2)+(10b-9)=0 equation:

Simplifying
-3(3b + 2) + (10b + -9) = 0

Reorder the terms:
-3(2 + 3b) + (10b + -9) = 0
(2 * -3 + 3b * -3) + (10b + -9) = 0
(-6 + -9b) + (10b + -9) = 0

Reorder the terms:
-6 + -9b + (-9 + 10b) = 0

Remove parenthesis around (-9 + 10b)
-6 + -9b + -9 + 10b = 0

Reorder the terms:
-6 + -9 + -9b + 10b = 0

Combine like terms: -6 + -9 = -15
-15 + -9b + 10b = 0

Combine like terms: -9b + 10b = 1b
-15 + 1b = 0

Solving
-15 + 1b = 0

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 1b = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1b = 0 + 15
1b = 0 + 15

Combine like terms: 0 + 15 = 15
1b = 15

Divide each side by '1'.
b = 15

Simplifying
b = 15