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Simplifying (3a + -9ab + b) + -1(8b + -1ab + 7a) = 0 Remove parenthesis around (3a + -9ab + b) 3a + -9ab + b + -1(8b + -1ab + 7a) = 0 Reorder the terms: 3a + -9ab + b + -1(7a + -1ab + 8b) = 0 3a + -9ab + b + (7a * -1 + -1ab * -1 + 8b * -1) = 0 3a + -9ab + b + (-7a + 1ab + -8b) = 0 Reorder the terms: 3a + -7a + -9ab + 1ab + b + -8b = 0 Combine like terms: 3a + -7a = -4a -4a + -9ab + 1ab + b + -8b = 0 Combine like terms: -9ab + 1ab = -8ab -4a + -8ab + b + -8b = 0 Combine like terms: b + -8b = -7b -4a + -8ab + -7b = 0 Solving -4a + -8ab + -7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. -4a + -8ab + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 -4a + -8ab + 0 = 0 + 7b -4a + -8ab = 0 + 7b Remove the zero: -4a + -8ab = 7b Combine like terms: 7b + -7b = 0 -4a + -8ab + -7b = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4a + 8ab + 7b) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4a + 8ab + 7b)' equal to zero and attempt to solve: Simplifying 4a + 8ab + 7b = 0 Solving 4a + 8ab + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 4a + 8ab + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 4a + 8ab + 0 = 0 + -7b 4a + 8ab = 0 + -7b Remove the zero: 4a + 8ab = -7b 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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