15-(9+10b)+(20b-4)=22

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Solution for 15-(9+10b)+(20b-4)=22 equation: 


Simplifying
15 + -1(9 + 10b) + (20b + -4) = 22
15 + (9 * -1 + 10b * -1) + (20b + -4) = 22
15 + (-9 + -10b) + (20b + -4) = 22

Reorder the terms:
15 + -9 + -10b + (-4 + 20b) = 22

Remove parenthesis around (-4 + 20b)
15 + -9 + -10b + -4 + 20b = 22

Reorder the terms:
15 + -9 + -4 + -10b + 20b = 22

Combine like terms: 15 + -9 = 6
6 + -4 + -10b + 20b = 22

Combine like terms: 6 + -4 = 2
2 + -10b + 20b = 22

Combine like terms: -10b + 20b = 10b
2 + 10b = 22

Solving
2 + 10b = 22

Solving for variable 'b'.

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

Add '-2' to each side of the equation.
2 + -2 + 10b = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 10b = 22 + -2
10b = 22 + -2

Combine like terms: 22 + -2 = 20
10b = 20

Divide each side by '10'.
b = 2

Simplifying
b = 2

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