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Simplifying -11 + -1ta = 6(5a + 4) Reorder the terms: -11 + -1at = 6(4 + 5a) -11 + -1at = (4 * 6 + 5a * 6) -11 + -1at = (24 + 30a) Solving -11 + -1at = 24 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -11 + -30a + -1at = 24 + 30a + -30a Combine like terms: 30a + -30a = 0 -11 + -30a + -1at = 24 + 0 -11 + -30a + -1at = 24 Add '11' to each side of the equation. -11 + -30a + 11 + -1at = 24 + 11 Reorder the terms: -11 + 11 + -30a + -1at = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -30a + -1at = 24 + 11 -30a + -1at = 24 + 11 Combine like terms: 24 + 11 = 35 -30a + -1at = 35 Reorder the terms: -35 + -30a + -1at = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + -30a + -1at = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(35 + 30a + at) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(35 + 30a + at)' equal to zero and attempt to solve: Simplifying 35 + 30a + at = 0 Solving 35 + 30a + at = 0 Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 30a + -35 + at = 0 + -35 Reorder the terms: 35 + -35 + 30a + at = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 30a + at = 0 + -35 30a + at = 0 + -35 Combine like terms: 0 + -35 = -35 30a + at = -35 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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