6+1.5(b+2)=15+2b-9

Solution for 6+1.5(b+2)=15+2b-9 equation:

Simplifying
6 + 1.5(b + 2) = 15 + 2b + -9

Reorder the terms:
6 + 1.5(2 + b) = 15 + 2b + -9
6 + (2 * 1.5 + b * 1.5) = 15 + 2b + -9
6 + (3 + 1.5b) = 15 + 2b + -9

Combine like terms: 6 + 3 = 9
9 + 1.5b = 15 + 2b + -9

Reorder the terms:
9 + 1.5b = 15 + -9 + 2b

Combine like terms: 15 + -9 = 6
9 + 1.5b = 6 + 2b

Solving
9 + 1.5b = 6 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
9 + 1.5b + -2b = 6 + 2b + -2b

Combine like terms: 1.5b + -2b = -0.5b
9 + -0.5b = 6 + 2b + -2b

Combine like terms: 2b + -2b = 0
9 + -0.5b = 6 + 0
9 + -0.5b = 6

Add '-9' to each side of the equation.
9 + -9 + -0.5b = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -0.5b = 6 + -9
-0.5b = 6 + -9

Combine like terms: 6 + -9 = -3
-0.5b = -3

Divide each side by '-0.5'.
b = 6

Simplifying
b = 6