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

Solution for -3(-7b+1)=-6(4b-7) equation:

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

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

Reorder the terms:
-3 + 21b = -6(-7 + 4b)
-3 + 21b = (-7 * -6 + 4b * -6)
-3 + 21b = (42 + -24b)

Solving
-3 + 21b = 42 + -24b

Solving for variable 'b'.

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

Add '24b' to each side of the equation.
-3 + 21b + 24b = 42 + -24b + 24b

Combine like terms: 21b + 24b = 45b
-3 + 45b = 42 + -24b + 24b

Combine like terms: -24b + 24b = 0
-3 + 45b = 42 + 0
-3 + 45b = 42

Add '3' to each side of the equation.
-3 + 3 + 45b = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 45b = 42 + 3
45b = 42 + 3

Combine like terms: 42 + 3 = 45
45b = 45

Divide each side by '45'.
b = 1

Simplifying
b = 1