4(b-1)+3(b+3)=30

Solution for 4(b-1)+3(b+3)=30 equation:

Simplifying
4(b + -1) + 3(b + 3) = 30

Reorder the terms:
4(-1 + b) + 3(b + 3) = 30
(-1 * 4 + b * 4) + 3(b + 3) = 30
(-4 + 4b) + 3(b + 3) = 30

Reorder the terms:
-4 + 4b + 3(3 + b) = 30
-4 + 4b + (3 * 3 + b * 3) = 30
-4 + 4b + (9 + 3b) = 30

Reorder the terms:
-4 + 9 + 4b + 3b = 30

Combine like terms: -4 + 9 = 5
5 + 4b + 3b = 30

Combine like terms: 4b + 3b = 7b
5 + 7b = 30

Solving
5 + 7b = 30

Solving for variable 'b'.

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

Add '-5' to each side of the equation.
5 + -5 + 7b = 30 + -5

Combine like terms: 5 + -5 = 0
0 + 7b = 30 + -5
7b = 30 + -5

Combine like terms: 30 + -5 = 25
7b = 25

Divide each side by '7'.
b = 3.571428571

Simplifying
b = 3.571428571