74=-2(4b+8)+5(3b-5)

Solution for 74=-2(4b+8)+5(3b-5) equation:

Simplifying
74 = -2(4b + 8) + 5(3b + -5)

Reorder the terms:
74 = -2(8 + 4b) + 5(3b + -5)
74 = (8 * -2 + 4b * -2) + 5(3b + -5)
74 = (-16 + -8b) + 5(3b + -5)

Reorder the terms:
74 = -16 + -8b + 5(-5 + 3b)
74 = -16 + -8b + (-5 * 5 + 3b * 5)
74 = -16 + -8b + (-25 + 15b)

Reorder the terms:
74 = -16 + -25 + -8b + 15b

Combine like terms: -16 + -25 = -41
74 = -41 + -8b + 15b

Combine like terms: -8b + 15b = 7b
74 = -41 + 7b

Solving
74 = -41 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
74 + -7b = -41 + 7b + -7b

Combine like terms: 7b + -7b = 0
74 + -7b = -41 + 0
74 + -7b = -41

Add '-74' to each side of the equation.
74 + -74 + -7b = -41 + -74

Combine like terms: 74 + -74 = 0
0 + -7b = -41 + -74
-7b = -41 + -74

Combine like terms: -41 + -74 = -115
-7b = -115

Divide each side by '-7'.
b = 16.42857143

Simplifying
b = 16.42857143