-2(1-11b)=5b-9(2b+8)

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Solution for -2(1-11b)=5b-9(2b+8) equation:


Simplifying
-2(1 + -11b) = 5b + -9(2b + 8)
(1 * -2 + -11b * -2) = 5b + -9(2b + 8)
(-2 + 22b) = 5b + -9(2b + 8)

Reorder the terms:
-2 + 22b = 5b + -9(8 + 2b)
-2 + 22b = 5b + (8 * -9 + 2b * -9)
-2 + 22b = 5b + (-72 + -18b)

Reorder the terms:
-2 + 22b = -72 + 5b + -18b

Combine like terms: 5b + -18b = -13b
-2 + 22b = -72 + -13b

Solving
-2 + 22b = -72 + -13b

Solving for variable 'b'.

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

Add '13b' to each side of the equation.
-2 + 22b + 13b = -72 + -13b + 13b

Combine like terms: 22b + 13b = 35b
-2 + 35b = -72 + -13b + 13b

Combine like terms: -13b + 13b = 0
-2 + 35b = -72 + 0
-2 + 35b = -72

Add '2' to each side of the equation.
-2 + 2 + 35b = -72 + 2

Combine like terms: -2 + 2 = 0
0 + 35b = -72 + 2
35b = -72 + 2

Combine like terms: -72 + 2 = -70
35b = -70

Divide each side by '35'.
b = -2

Simplifying
b = -2

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