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Simplifying (-7ab + -7a + -4) + -1(-5ab + -1) = 1 Reorder the terms: (-4 + -7a + -7ab) + -1(-5ab + -1) = 1 Remove parenthesis around (-4 + -7a + -7ab) -4 + -7a + -7ab + -1(-5ab + -1) = 1 Reorder the terms: -4 + -7a + -7ab + -1(-1 + -5ab) = 1 -4 + -7a + -7ab + (-1 * -1 + -5ab * -1) = 1 -4 + -7a + -7ab + (1 + 5ab) = 1 Reorder the terms: -4 + 1 + -7a + -7ab + 5ab = 1 Combine like terms: -4 + 1 = -3 -3 + -7a + -7ab + 5ab = 1 Combine like terms: -7ab + 5ab = -2ab -3 + -7a + -2ab = 1 Solving -3 + -7a + -2ab = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -7a + 3 + -2ab = 1 + 3 Reorder the terms: -3 + 3 + -7a + -2ab = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -7a + -2ab = 1 + 3 -7a + -2ab = 1 + 3 Combine like terms: 1 + 3 = 4 -7a + -2ab = 4 Reorder the terms: -4 + -7a + -2ab = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -7a + -2ab = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 7a + 2ab) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 7a + 2ab)' equal to zero and attempt to solve: Simplifying 4 + 7a + 2ab = 0 Solving 4 + 7a + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 7a + -4 + 2ab = 0 + -4 Reorder the terms: 4 + -4 + 7a + 2ab = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7a + 2ab = 0 + -4 7a + 2ab = 0 + -4 Combine like terms: 0 + -4 = -4 7a + 2ab = -4 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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