b+1.5(n+2)+15+2b-9=90

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Solution for b+1.5(n+2)+15+2b-9=90 equation: 


Simplifying
b + 1.5(n + 2) + 15 + 2b + -9 = 90

Reorder the terms:
b + 1.5(2 + n) + 15 + 2b + -9 = 90
b + (2 * 1.5 + n * 1.5) + 15 + 2b + -9 = 90
b + (3 + 1.5n) + 15 + 2b + -9 = 90

Reorder the terms:
3 + 15 + -9 + b + 2b + 1.5n = 90

Combine like terms: 3 + 15 = 18
18 + -9 + b + 2b + 1.5n = 90

Combine like terms: 18 + -9 = 9
9 + b + 2b + 1.5n = 90

Combine like terms: b + 2b = 3b
9 + 3b + 1.5n = 90

Solving
9 + 3b + 1.5n = 90

Solving for variable 'b'.

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

Add '-9' to each side of the equation.
9 + 3b + -9 + 1.5n = 90 + -9

Reorder the terms:
9 + -9 + 3b + 1.5n = 90 + -9

Combine like terms: 9 + -9 = 0
0 + 3b + 1.5n = 90 + -9
3b + 1.5n = 90 + -9

Combine like terms: 90 + -9 = 81
3b + 1.5n = 81

Add '-1.5n' to each side of the equation.
3b + 1.5n + -1.5n = 81 + -1.5n

Combine like terms: 1.5n + -1.5n = 0.0
3b + 0.0 = 81 + -1.5n
3b = 81 + -1.5n

Divide each side by '3'.
b = 27 + -0.5n

Simplifying
b = 27 + -0.5n

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