-9(b+1)+4=3(2b-7)-b

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Solution for -9(b+1)+4=3(2b-7)-b equation:


Simplifying
-9(b + 1) + 4 = 3(2b + -7) + -1b

Reorder the terms:
-9(1 + b) + 4 = 3(2b + -7) + -1b
(1 * -9 + b * -9) + 4 = 3(2b + -7) + -1b
(-9 + -9b) + 4 = 3(2b + -7) + -1b

Reorder the terms:
-9 + 4 + -9b = 3(2b + -7) + -1b

Combine like terms: -9 + 4 = -5
-5 + -9b = 3(2b + -7) + -1b

Reorder the terms:
-5 + -9b = 3(-7 + 2b) + -1b
-5 + -9b = (-7 * 3 + 2b * 3) + -1b
-5 + -9b = (-21 + 6b) + -1b

Combine like terms: 6b + -1b = 5b
-5 + -9b = -21 + 5b

Solving
-5 + -9b = -21 + 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.
-5 + -9b + -5b = -21 + 5b + -5b

Combine like terms: -9b + -5b = -14b
-5 + -14b = -21 + 5b + -5b

Combine like terms: 5b + -5b = 0
-5 + -14b = -21 + 0
-5 + -14b = -21

Add '5' to each side of the equation.
-5 + 5 + -14b = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -14b = -21 + 5
-14b = -21 + 5

Combine like terms: -21 + 5 = -16
-14b = -16

Divide each side by '-14'.
b = 1.142857143

Simplifying
b = 1.142857143

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