47=-3(3b+1)-4(-4+2b)

Solution for 47=-3(3b+1)-4(-4+2b) equation:

Simplifying
47 = -3(3b + 1) + -4(-4 + 2b)

Reorder the terms:
47 = -3(1 + 3b) + -4(-4 + 2b)
47 = (1 * -3 + 3b * -3) + -4(-4 + 2b)
47 = (-3 + -9b) + -4(-4 + 2b)
47 = -3 + -9b + (-4 * -4 + 2b * -4)
47 = -3 + -9b + (16 + -8b)

Reorder the terms:
47 = -3 + 16 + -9b + -8b

Combine like terms: -3 + 16 = 13
47 = 13 + -9b + -8b

Combine like terms: -9b + -8b = -17b
47 = 13 + -17b

Solving
47 = 13 + -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.
47 + 17b = 13 + -17b + 17b

Combine like terms: -17b + 17b = 0
47 + 17b = 13 + 0
47 + 17b = 13

Add '-47' to each side of the equation.
47 + -47 + 17b = 13 + -47

Combine like terms: 47 + -47 = 0
0 + 17b = 13 + -47
17b = 13 + -47

Combine like terms: 13 + -47 = -34
17b = -34

Divide each side by '17'.
b = -2

Simplifying
b = -2