1-9(b+6)=-2(4-3b)

Solution for 1-9(b+6)=-2(4-3b) equation:

Simplifying
1 + -9(b + 6) = -2(4 + -3b)

Reorder the terms:
1 + -9(6 + b) = -2(4 + -3b)
1 + (6 * -9 + b * -9) = -2(4 + -3b)
1 + (-54 + -9b) = -2(4 + -3b)

Combine like terms: 1 + -54 = -53
-53 + -9b = -2(4 + -3b)
-53 + -9b = (4 * -2 + -3b * -2)
-53 + -9b = (-8 + 6b)

Solving
-53 + -9b = -8 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-53 + -9b + -6b = -8 + 6b + -6b

Combine like terms: -9b + -6b = -15b
-53 + -15b = -8 + 6b + -6b

Combine like terms: 6b + -6b = 0
-53 + -15b = -8 + 0
-53 + -15b = -8

Add '53' to each side of the equation.
-53 + 53 + -15b = -8 + 53

Combine like terms: -53 + 53 = 0
0 + -15b = -8 + 53
-15b = -8 + 53

Combine like terms: -8 + 53 = 45
-15b = 45

Divide each side by '-15'.
b = -3

Simplifying
b = -3