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Simplifying -34 + -8a = -2v(a + 2) Reorder the terms: -34 + -8a = -2v(2 + a) -34 + -8a = (2 * -2v + a * -2v) Reorder the terms: -34 + -8a = (-2av + -4v) -34 + -8a = (-2av + -4v) Solving -34 + -8a = -2av + -4v Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2av' to each side of the equation. -34 + -8a + 2av = -2av + 2av + -4v Combine like terms: -2av + 2av = 0 -34 + -8a + 2av = 0 + -4v -34 + -8a + 2av = -4v Add '34' to each side of the equation. -34 + -8a + 34 + 2av = 34 + -4v Reorder the terms: -34 + 34 + -8a + 2av = 34 + -4v Combine like terms: -34 + 34 = 0 0 + -8a + 2av = 34 + -4v -8a + 2av = 34 + -4v Reorder the terms: -34 + -8a + 2av + 4v = 34 + -4v + -34 + 4v Reorder the terms: -34 + -8a + 2av + 4v = 34 + -34 + -4v + 4v Combine like terms: 34 + -34 = 0 -34 + -8a + 2av + 4v = 0 + -4v + 4v -34 + -8a + 2av + 4v = -4v + 4v Combine like terms: -4v + 4v = 0 -34 + -8a + 2av + 4v = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-17 + -4a + av + 2v) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + -4a + av + 2v)' equal to zero and attempt to solve: Simplifying -17 + -4a + av + 2v = 0 Solving -17 + -4a + av + 2v = 0 Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -4a + av + 17 + 2v = 0 + 17 Reorder the terms: -17 + 17 + -4a + av + 2v = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4a + av + 2v = 0 + 17 -4a + av + 2v = 0 + 17 Combine like terms: 0 + 17 = 17 -4a + av + 2v = 17 Add '-2v' to each side of the equation. -4a + av + 2v + -2v = 17 + -2v Combine like terms: 2v + -2v = 0 -4a + av + 0 = 17 + -2v -4a + av = 17 + -2v 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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