-3+6(12b+1)=-9(5-7b)+12b

Solution for -3+6(12b+1)=-9(5-7b)+12b equation:

Simplifying
-3 + 6(12b + 1) = -9(5 + -7b) + 12b

Reorder the terms:
-3 + 6(1 + 12b) = -9(5 + -7b) + 12b
-3 + (1 * 6 + 12b * 6) = -9(5 + -7b) + 12b
-3 + (6 + 72b) = -9(5 + -7b) + 12b

Combine like terms: -3 + 6 = 3
3 + 72b = -9(5 + -7b) + 12b
3 + 72b = (5 * -9 + -7b * -9) + 12b
3 + 72b = (-45 + 63b) + 12b

Combine like terms: 63b + 12b = 75b
3 + 72b = -45 + 75b

Solving
3 + 72b = -45 + 75b

Solving for variable 'b'.

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

Add '-75b' to each side of the equation.
3 + 72b + -75b = -45 + 75b + -75b

Combine like terms: 72b + -75b = -3b
3 + -3b = -45 + 75b + -75b

Combine like terms: 75b + -75b = 0
3 + -3b = -45 + 0
3 + -3b = -45

Add '-3' to each side of the equation.
3 + -3 + -3b = -45 + -3

Combine like terms: 3 + -3 = 0
0 + -3b = -45 + -3
-3b = -45 + -3

Combine like terms: -45 + -3 = -48
-3b = -48

Divide each side by '-3'.
b = 16

Simplifying
b = 16