6.5-4.5(1+9.5b)=23.5

Solution for 6.5-4.5(1+9.5b)=23.5 equation:

Simplifying
6.5 + -4.5(1 + 9.5b) = 23.5
6.5 + (1 * -4.5 + 9.5b * -4.5) = 23.5
6.5 + (-4.5 + -42.75b) = 23.5

Combine like terms: 6.5 + -4.5 = 2
2 + -42.75b = 23.5

Solving
2 + -42.75b = 23.5

Solving for variable 'b'.

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

Add '-2' to each side of the equation.
2 + -2 + -42.75b = 23.5 + -2

Combine like terms: 2 + -2 = 0
0 + -42.75b = 23.5 + -2
-42.75b = 23.5 + -2

Combine like terms: 23.5 + -2 = 21.5
-42.75b = 21.5

Divide each side by '-42.75'.
b = -0.5029239766

Simplifying
b = -0.5029239766