-3b+9(-12b+13)=-6(19b+1)

Solution for -3b+9(-12b+13)=-6(19b+1) equation:

Simplifying
-3b + 9(-12b + 13) = -6(19b + 1)

Reorder the terms:
-3b + 9(13 + -12b) = -6(19b + 1)
-3b + (13 * 9 + -12b * 9) = -6(19b + 1)
-3b + (117 + -108b) = -6(19b + 1)

Reorder the terms:
117 + -3b + -108b = -6(19b + 1)

Combine like terms: -3b + -108b = -111b
117 + -111b = -6(19b + 1)

Reorder the terms:
117 + -111b = -6(1 + 19b)
117 + -111b = (1 * -6 + 19b * -6)
117 + -111b = (-6 + -114b)

Solving
117 + -111b = -6 + -114b

Solving for variable 'b'.

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

Add '114b' to each side of the equation.
117 + -111b + 114b = -6 + -114b + 114b

Combine like terms: -111b + 114b = 3b
117 + 3b = -6 + -114b + 114b

Combine like terms: -114b + 114b = 0
117 + 3b = -6 + 0
117 + 3b = -6

Add '-117' to each side of the equation.
117 + -117 + 3b = -6 + -117

Combine like terms: 117 + -117 = 0
0 + 3b = -6 + -117
3b = -6 + -117

Combine like terms: -6 + -117 = -123
3b = -123

Divide each side by '3'.
b = -41

Simplifying
b = -41