-2(b-1)=-5-3(b-9)

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Solution for -2(b-1)=-5-3(b-9) equation:


Simplifying
-2(b + -1) = -5 + -3(b + -9)

Reorder the terms:
-2(-1 + b) = -5 + -3(b + -9)
(-1 * -2 + b * -2) = -5 + -3(b + -9)
(2 + -2b) = -5 + -3(b + -9)

Reorder the terms:
2 + -2b = -5 + -3(-9 + b)
2 + -2b = -5 + (-9 * -3 + b * -3)
2 + -2b = -5 + (27 + -3b)

Combine like terms: -5 + 27 = 22
2 + -2b = 22 + -3b

Solving
2 + -2b = 22 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
2 + -2b + 3b = 22 + -3b + 3b

Combine like terms: -2b + 3b = 1b
2 + 1b = 22 + -3b + 3b

Combine like terms: -3b + 3b = 0
2 + 1b = 22 + 0
2 + 1b = 22

Add '-2' to each side of the equation.
2 + -2 + 1b = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 1b = 22 + -2
1b = 22 + -2

Combine like terms: 22 + -2 = 20
1b = 20

Divide each side by '1'.
b = 20

Simplifying
b = 20

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