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 = -15
-15 + -9 + B + 15b + 2b = 90

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

Combine like terms: 15b + 2b = 17b
-24 + B + 17b = 90

Solving
-24 + B + 17b = 90

Solving for variable 'B'.

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

Add '24' to each side of the equation.
-24 + B + 24 + 17b = 90 + 24

Reorder the terms:
-24 + 24 + B + 17b = 90 + 24

Combine like terms: -24 + 24 = 0
0 + B + 17b = 90 + 24
B + 17b = 90 + 24

Combine like terms: 90 + 24 = 114
B + 17b = 114

Add '-17b' to each side of the equation.
B + 17b + -17b = 114 + -17b

Combine like terms: 17b + -17b = 0
B + 0 = 114 + -17b
B = 114 + -17b

Simplifying
B = 114 + -17b

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