2b+b+(3b+10)+(3b-19)=360

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Solution for 2b+b+(3b+10)+(3b-19)=360 equation:


Simplifying
2b + b + (3b + 10) + (3b + -19) = 360

Reorder the terms:
2b + b + (10 + 3b) + (3b + -19) = 360

Remove parenthesis around (10 + 3b)
2b + b + 10 + 3b + (3b + -19) = 360

Reorder the terms:
2b + b + 10 + 3b + (-19 + 3b) = 360

Remove parenthesis around (-19 + 3b)
2b + b + 10 + 3b + -19 + 3b = 360

Reorder the terms:
10 + -19 + 2b + b + 3b + 3b = 360

Combine like terms: 10 + -19 = -9
-9 + 2b + b + 3b + 3b = 360

Combine like terms: 2b + b = 3b
-9 + 3b + 3b + 3b = 360

Combine like terms: 3b + 3b = 6b
-9 + 6b + 3b = 360

Combine like terms: 6b + 3b = 9b
-9 + 9b = 360

Solving
-9 + 9b = 360

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 + 9 + 9b = 360 + 9

Combine like terms: -9 + 9 = 0
0 + 9b = 360 + 9
9b = 360 + 9

Combine like terms: 360 + 9 = 369
9b = 369

Divide each side by '9'.
b = 41

Simplifying
b = 41

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