3a-6b-7a+2b=equation

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Solution for 3a-6b-7a+2b=equation equation:


Simplifying
3a + -6b + -7a + 2b = equation

Reorder the terms:
3a + -7a + -6b + 2b = equation

Combine like terms: 3a + -7a = -4a
-4a + -6b + 2b = equation

Combine like terms: -6b + 2b = -4b
-4a + -4b = equation

Solving
-4a + -4b = aeinoqtu

Solving for variable 'a'.

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

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

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

Add '4b' to each side of the equation.
-4a + -1aeinoqtu + -4b + 4b = 0 + 4b

Combine like terms: -4b + 4b = 0
-4a + -1aeinoqtu + 0 = 0 + 4b
-4a + -1aeinoqtu = 0 + 4b
Remove the zero:
-4a + -1aeinoqtu = 4b

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4a + aeinoqtu + 4b) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4a + aeinoqtu + 4b)' equal to zero and attempt to solve: Simplifying 4a + aeinoqtu + 4b = 0 Solving 4a + aeinoqtu + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 4a + aeinoqtu + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 4a + aeinoqtu + 0 = 0 + -4b 4a + aeinoqtu = 0 + -4b Remove the zero: 4a + aeinoqtu = -4b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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