-6(1+6b)=-6(-3+7b)

Solution for -6(1+6b)=-6(-3+7b) equation:

Simplifying
-6(1 + 6b) = -6(-3 + 7b)
(1 * -6 + 6b * -6) = -6(-3 + 7b)
(-6 + -36b) = -6(-3 + 7b)
-6 + -36b = (-3 * -6 + 7b * -6)
-6 + -36b = (18 + -42b)

Solving
-6 + -36b = 18 + -42b

Solving for variable 'b'.

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

Add '42b' to each side of the equation.
-6 + -36b + 42b = 18 + -42b + 42b

Combine like terms: -36b + 42b = 6b
-6 + 6b = 18 + -42b + 42b

Combine like terms: -42b + 42b = 0
-6 + 6b = 18 + 0
-6 + 6b = 18

Add '6' to each side of the equation.
-6 + 6 + 6b = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 6b = 18 + 6
6b = 18 + 6

Combine like terms: 18 + 6 = 24
6b = 24

Divide each side by '6'.
b = 4

Simplifying
b = 4