-4b+6(-2b+7)=3-3b

Solution for -4b+6(-2b+7)=3-3b equation:

Simplifying
-4b + 6(-2b + 7) = 3 + -3b

Reorder the terms:
-4b + 6(7 + -2b) = 3 + -3b
-4b + (7 * 6 + -2b * 6) = 3 + -3b
-4b + (42 + -12b) = 3 + -3b

Reorder the terms:
42 + -4b + -12b = 3 + -3b

Combine like terms: -4b + -12b = -16b
42 + -16b = 3 + -3b

Solving
42 + -16b = 3 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
42 + -16b + 3b = 3 + -3b + 3b

Combine like terms: -16b + 3b = -13b
42 + -13b = 3 + -3b + 3b

Combine like terms: -3b + 3b = 0
42 + -13b = 3 + 0
42 + -13b = 3

Add '-42' to each side of the equation.
42 + -42 + -13b = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -13b = 3 + -42
-13b = 3 + -42

Combine like terms: 3 + -42 = -39
-13b = -39

Divide each side by '-13'.
b = 3

Simplifying
b = 3