-b-(13+4b)=3(5-9b)+2

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Solution for -b-(13+4b)=3(5-9b)+2 equation:


Simplifying
-1b + -1(13 + 4b) = 3(5 + -9b) + 2
-1b + (13 * -1 + 4b * -1) = 3(5 + -9b) + 2
-1b + (-13 + -4b) = 3(5 + -9b) + 2

Reorder the terms:
-13 + -1b + -4b = 3(5 + -9b) + 2

Combine like terms: -1b + -4b = -5b
-13 + -5b = 3(5 + -9b) + 2
-13 + -5b = (5 * 3 + -9b * 3) + 2
-13 + -5b = (15 + -27b) + 2

Reorder the terms:
-13 + -5b = 15 + 2 + -27b

Combine like terms: 15 + 2 = 17
-13 + -5b = 17 + -27b

Solving
-13 + -5b = 17 + -27b

Solving for variable 'b'.

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

Add '27b' to each side of the equation.
-13 + -5b + 27b = 17 + -27b + 27b

Combine like terms: -5b + 27b = 22b
-13 + 22b = 17 + -27b + 27b

Combine like terms: -27b + 27b = 0
-13 + 22b = 17 + 0
-13 + 22b = 17

Add '13' to each side of the equation.
-13 + 13 + 22b = 17 + 13

Combine like terms: -13 + 13 = 0
0 + 22b = 17 + 13
22b = 17 + 13

Combine like terms: 17 + 13 = 30
22b = 30

Divide each side by '22'.
b = 1.363636364

Simplifying
b = 1.363636364

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