a+b*c=3c*4a-b

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Solution for a+b*c=3c*4a-b equation:


Simplifying
a + b * c = 3c * 4a + -1b

Multiply b * c
a + bc = 3c * 4a + -1b

Reorder the terms for easier multiplication:
a + bc = 3 * 4c * a + -1b

Multiply 3 * 4
a + bc = 12c * a + -1b

Multiply c * a
a + bc = 12ac + -1b

Solving
a + bc = 12ac + -1b

Solving for variable 'a'.

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

Add '-12ac' to each side of the equation.
a + -12ac + bc = 12ac + -12ac + -1b

Combine like terms: 12ac + -12ac = 0
a + -12ac + bc = 0 + -1b
a + -12ac + bc = -1b

Add '-1bc' to each side of the equation.
a + -12ac + bc + -1bc = -1b + -1bc

Combine like terms: bc + -1bc = 0
a + -12ac + 0 = -1b + -1bc
a + -12ac = -1b + -1bc

Reorder the terms:
a + -12ac + b + bc = -1b + b + -1bc + bc

Combine like terms: -1b + b = 0
a + -12ac + b + bc = 0 + -1bc + bc
a + -12ac + b + bc = -1bc + bc

Combine like terms: -1bc + bc = 0
a + -12ac + b + bc = 0

The solution to this equation could not be determined.

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