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

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

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

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

Reorder the terms:
6 + -4b = -21 + -7b + 4(3 + 6b)
6 + -4b = -21 + -7b + (3 * 4 + 6b * 4)
6 + -4b = -21 + -7b + (12 + 24b)

Reorder the terms:
6 + -4b = -21 + 12 + -7b + 24b

Combine like terms: -21 + 12 = -9
6 + -4b = -9 + -7b + 24b

Combine like terms: -7b + 24b = 17b
6 + -4b = -9 + 17b

Solving
6 + -4b = -9 + 17b

Solving for variable 'b'.

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

Add '-17b' to each side of the equation.
6 + -4b + -17b = -9 + 17b + -17b

Combine like terms: -4b + -17b = -21b
6 + -21b = -9 + 17b + -17b

Combine like terms: 17b + -17b = 0
6 + -21b = -9 + 0
6 + -21b = -9

Add '-6' to each side of the equation.
6 + -6 + -21b = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -21b = -9 + -6
-21b = -9 + -6

Combine like terms: -9 + -6 = -15
-21b = -15

Divide each side by '-21'.
b = 0.7142857143

Simplifying
b = 0.7142857143