-(4b+6)+7(-3+7b)=18

Solution for -(4b+6)+7(-3+7b)=18 equation:

Simplifying
-1(4b + 6) + 7(-3 + 7b) = 18

Reorder the terms:
-1(6 + 4b) + 7(-3 + 7b) = 18
(6 * -1 + 4b * -1) + 7(-3 + 7b) = 18
(-6 + -4b) + 7(-3 + 7b) = 18
-6 + -4b + (-3 * 7 + 7b * 7) = 18
-6 + -4b + (-21 + 49b) = 18

Reorder the terms:
-6 + -21 + -4b + 49b = 18

Combine like terms: -6 + -21 = -27
-27 + -4b + 49b = 18

Combine like terms: -4b + 49b = 45b
-27 + 45b = 18

Solving
-27 + 45b = 18

Solving for variable 'b'.

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

Add '27' to each side of the equation.
-27 + 27 + 45b = 18 + 27

Combine like terms: -27 + 27 = 0
0 + 45b = 18 + 27
45b = 18 + 27

Combine like terms: 18 + 27 = 45
45b = 45

Divide each side by '45'.
b = 1

Simplifying
b = 1