17=-3(23-b)+2(b-2)

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Solution for 17=-3(23-b)+2(b-2) equation: 


Simplifying
17 = -3(23 + -1b) + 2(b + -2)
17 = (23 * -3 + -1b * -3) + 2(b + -2)
17 = (-69 + 3b) + 2(b + -2)

Reorder the terms:
17 = -69 + 3b + 2(-2 + b)
17 = -69 + 3b + (-2 * 2 + b * 2)
17 = -69 + 3b + (-4 + 2b)

Reorder the terms:
17 = -69 + -4 + 3b + 2b

Combine like terms: -69 + -4 = -73
17 = -73 + 3b + 2b

Combine like terms: 3b + 2b = 5b
17 = -73 + 5b

Solving
17 = -73 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
17 + -5b = -73 + 5b + -5b

Combine like terms: 5b + -5b = 0
17 + -5b = -73 + 0
17 + -5b = -73

Add '-17' to each side of the equation.
17 + -17 + -5b = -73 + -17

Combine like terms: 17 + -17 = 0
0 + -5b = -73 + -17
-5b = -73 + -17

Combine like terms: -73 + -17 = -90
-5b = -90

Divide each side by '-5'.
b = 18

Simplifying
b = 18

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