1-4(b-1)=23-7b

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Solution for 1-4(b-1)=23-7b equation:


Simplifying
1 + -4(b + -1) = 23 + -7b

Reorder the terms:
1 + -4(-1 + b) = 23 + -7b
1 + (-1 * -4 + b * -4) = 23 + -7b
1 + (4 + -4b) = 23 + -7b

Combine like terms: 1 + 4 = 5
5 + -4b = 23 + -7b

Solving
5 + -4b = 23 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
5 + -4b + 7b = 23 + -7b + 7b

Combine like terms: -4b + 7b = 3b
5 + 3b = 23 + -7b + 7b

Combine like terms: -7b + 7b = 0
5 + 3b = 23 + 0
5 + 3b = 23

Add '-5' to each side of the equation.
5 + -5 + 3b = 23 + -5

Combine like terms: 5 + -5 = 0
0 + 3b = 23 + -5
3b = 23 + -5

Combine like terms: 23 + -5 = 18
3b = 18

Divide each side by '3'.
b = 6

Simplifying
b = 6

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