3b-1(b-1)=2(3b-1)+6

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Solution for 3b-1(b-1)=2(3b-1)+6 equation:


Simplifying
3b + -1(b + -1) = 2(3b + -1) + 6

Reorder the terms:
3b + -1(-1 + b) = 2(3b + -1) + 6
3b + (-1 * -1 + b * -1) = 2(3b + -1) + 6
3b + (1 + -1b) = 2(3b + -1) + 6

Reorder the terms:
1 + 3b + -1b = 2(3b + -1) + 6

Combine like terms: 3b + -1b = 2b
1 + 2b = 2(3b + -1) + 6

Reorder the terms:
1 + 2b = 2(-1 + 3b) + 6
1 + 2b = (-1 * 2 + 3b * 2) + 6
1 + 2b = (-2 + 6b) + 6

Reorder the terms:
1 + 2b = -2 + 6 + 6b

Combine like terms: -2 + 6 = 4
1 + 2b = 4 + 6b

Solving
1 + 2b = 4 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
1 + 2b + -6b = 4 + 6b + -6b

Combine like terms: 2b + -6b = -4b
1 + -4b = 4 + 6b + -6b

Combine like terms: 6b + -6b = 0
1 + -4b = 4 + 0
1 + -4b = 4

Add '-1' to each side of the equation.
1 + -1 + -4b = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -4b = 4 + -1
-4b = 4 + -1

Combine like terms: 4 + -1 = 3
-4b = 3

Divide each side by '-4'.
b = -0.75

Simplifying
b = -0.75

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