6+1.5(n+2)+15+2b-9=90

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Solution for 6+1.5(n+2)+15+2b-9=90 equation:


Simplifying
6 + 1.5(n + 2) + 15 + 2b + -9 = 90

Reorder the terms:
6 + 1.5(2 + n) + 15 + 2b + -9 = 90
6 + (2 * 1.5 + n * 1.5) + 15 + 2b + -9 = 90
6 + (3 + 1.5n) + 15 + 2b + -9 = 90

Reorder the terms:
6 + 3 + 15 + -9 + 2b + 1.5n = 90

Combine like terms: 6 + 3 = 9
9 + 15 + -9 + 2b + 1.5n = 90

Combine like terms: 9 + 15 = 24
24 + -9 + 2b + 1.5n = 90

Combine like terms: 24 + -9 = 15
15 + 2b + 1.5n = 90

Solving
15 + 2b + 1.5n = 90

Solving for variable 'b'.

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

Add '-15' to each side of the equation.
15 + 2b + -15 + 1.5n = 90 + -15

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

Combine like terms: 15 + -15 = 0
0 + 2b + 1.5n = 90 + -15
2b + 1.5n = 90 + -15

Combine like terms: 90 + -15 = 75
2b + 1.5n = 75

Add '-1.5n' to each side of the equation.
2b + 1.5n + -1.5n = 75 + -1.5n

Combine like terms: 1.5n + -1.5n = 0.0
2b + 0.0 = 75 + -1.5n
2b = 75 + -1.5n

Divide each side by '2'.
b = 37.5 + -0.75n

Simplifying
b = 37.5 + -0.75n

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