3a+1=3b(a-1)

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


Simplifying
3a + 1 = 3b(a + -1)

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

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

Reorder the terms:
1 + 3a = (3ab + -3b)
1 + 3a = (3ab + -3b)

Solving
1 + 3a = 3ab + -3b

Solving for variable 'a'.

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

Add '-3ab' to each side of the equation.
1 + 3a + -3ab = 3ab + -3ab + -3b

Combine like terms: 3ab + -3ab = 0
1 + 3a + -3ab = 0 + -3b
1 + 3a + -3ab = -3b

Add '-1' to each side of the equation.
1 + 3a + -1 + -3ab = -1 + -3b

Reorder the terms:
1 + -1 + 3a + -3ab = -1 + -3b

Combine like terms: 1 + -1 = 0
0 + 3a + -3ab = -1 + -3b
3a + -3ab = -1 + -3b

Reorder the terms:
1 + 3a + -3ab + 3b = -1 + -3b + 1 + 3b

Reorder the terms:
1 + 3a + -3ab + 3b = -1 + 1 + -3b + 3b

Combine like terms: -1 + 1 = 0
1 + 3a + -3ab + 3b = 0 + -3b + 3b
1 + 3a + -3ab + 3b = -3b + 3b

Combine like terms: -3b + 3b = 0
1 + 3a + -3ab + 3b = 0

The solution to this equation could not be determined.

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