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Simplifying 5a + 6ab + -2a + -6b = 45 Reorder the terms: 5a + -2a + 6ab + -6b = 45 Combine like terms: 5a + -2a = 3a 3a + 6ab + -6b = 45 Solving 3a + 6ab + -6b = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 3a + 6ab + -6b + 6b = 45 + 6b Combine like terms: -6b + 6b = 0 3a + 6ab + 0 = 45 + 6b 3a + 6ab = 45 + 6b Reorder the terms: -45 + 3a + 6ab + -6b = 45 + 6b + -45 + -6b Reorder the terms: -45 + 3a + 6ab + -6b = 45 + -45 + 6b + -6b Combine like terms: 45 + -45 = 0 -45 + 3a + 6ab + -6b = 0 + 6b + -6b -45 + 3a + 6ab + -6b = 6b + -6b Combine like terms: 6b + -6b = 0 -45 + 3a + 6ab + -6b = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + a + 2ab + -2b) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15 + a + 2ab + -2b)' equal to zero and attempt to solve: Simplifying -15 + a + 2ab + -2b = 0 Solving -15 + a + 2ab + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + a + 2ab + 15 + -2b = 0 + 15 Reorder the terms: -15 + 15 + a + 2ab + -2b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + a + 2ab + -2b = 0 + 15 a + 2ab + -2b = 0 + 15 Combine like terms: 0 + 15 = 15 a + 2ab + -2b = 15 Add '2b' to each side of the equation. a + 2ab + -2b + 2b = 15 + 2b Combine like terms: -2b + 2b = 0 a + 2ab + 0 = 15 + 2b a + 2ab = 15 + 2b 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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