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

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


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

Reorder the terms:
b + 15(2 + b) + 15 + (2b + -9) = 90
b + (2 * 15 + b * 15) + 15 + (2b + -9) = 90
b + (30 + 15b) + 15 + (2b + -9) = 90

Reorder the terms:
b + 30 + 15b + 15 + (-9 + 2b) = 90

Remove parenthesis around (-9 + 2b)
b + 30 + 15b + 15 + -9 + 2b = 90

Reorder the terms:
30 + 15 + -9 + b + 15b + 2b = 90

Combine like terms: 30 + 15 = 45
45 + -9 + b + 15b + 2b = 90

Combine like terms: 45 + -9 = 36
36 + b + 15b + 2b = 90

Combine like terms: b + 15b = 16b
36 + 16b + 2b = 90

Combine like terms: 16b + 2b = 18b
36 + 18b = 90

Solving
36 + 18b = 90

Solving for variable 'b'.

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

Add '-36' to each side of the equation.
36 + -36 + 18b = 90 + -36

Combine like terms: 36 + -36 = 0
0 + 18b = 90 + -36
18b = 90 + -36

Combine like terms: 90 + -36 = 54
18b = 54

Divide each side by '18'.
b = 3

Simplifying
b = 3

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