-19.82+18.5b=-9(-3b-12.72)

Solution for -19.82+18.5b=-9(-3b-12.72) equation:

Simplifying
-19.82 + 18.5b = -9(-3b + -12.72)

Reorder the terms:
-19.82 + 18.5b = -9(-12.72 + -3b)
-19.82 + 18.5b = (-12.72 * -9 + -3b * -9)
-19.82 + 18.5b = (114.48 + 27b)

Solving
-19.82 + 18.5b = 114.48 + 27b

Solving for variable 'b'.

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

Add '-27b' to each side of the equation.
-19.82 + 18.5b + -27b = 114.48 + 27b + -27b

Combine like terms: 18.5b + -27b = -8.5b
-19.82 + -8.5b = 114.48 + 27b + -27b

Combine like terms: 27b + -27b = 0
-19.82 + -8.5b = 114.48 + 0
-19.82 + -8.5b = 114.48

Add '19.82' to each side of the equation.
-19.82 + 19.82 + -8.5b = 114.48 + 19.82

Combine like terms: -19.82 + 19.82 = 0.00
0.00 + -8.5b = 114.48 + 19.82
-8.5b = 114.48 + 19.82

Combine like terms: 114.48 + 19.82 = 134.3
-8.5b = 134.3

Divide each side by '-8.5'.
b = -15.8

Simplifying
b = -15.8