56=-6(1-7b)-(7b+8)

Solution for 56=-6(1-7b)-(7b+8) equation:

Simplifying
56 = -6(1 + -7b) + -1(7b + 8)
56 = (1 * -6 + -7b * -6) + -1(7b + 8)
56 = (-6 + 42b) + -1(7b + 8)

Reorder the terms:
56 = -6 + 42b + -1(8 + 7b)
56 = -6 + 42b + (8 * -1 + 7b * -1)
56 = -6 + 42b + (-8 + -7b)

Reorder the terms:
56 = -6 + -8 + 42b + -7b

Combine like terms: -6 + -8 = -14
56 = -14 + 42b + -7b

Combine like terms: 42b + -7b = 35b
56 = -14 + 35b

Solving
56 = -14 + 35b

Solving for variable 'b'.

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

Add '-35b' to each side of the equation.
56 + -35b = -14 + 35b + -35b

Combine like terms: 35b + -35b = 0
56 + -35b = -14 + 0
56 + -35b = -14

Add '-56' to each side of the equation.
56 + -56 + -35b = -14 + -56

Combine like terms: 56 + -56 = 0
0 + -35b = -14 + -56
-35b = -14 + -56

Combine like terms: -14 + -56 = -70
-35b = -70

Divide each side by '-35'.
b = 2

Simplifying
b = 2