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

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Solution for -b-1(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 = -13
-13 + -5b = -13 + 27b

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

Combine like terms: -13 + 13 = 0
0 + -5b = -13 + 13 + 27b
-5b = -13 + 13 + 27b

Combine like terms: -13 + 13 = 0
-5b = 0 + 27b
-5b = 27b

Solving
-5b = 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.
-5b + -27b = 27b + -27b

Combine like terms: -5b + -27b = -32b
-32b = 27b + -27b

Combine like terms: 27b + -27b = 0
-32b = 0

Divide each side by '-32'.
b = 0

Simplifying
b = 0

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