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Simplifying 6p + 2a(p + -1) = 22 Reorder the terms: 6p + 2a(-1 + p) = 22 6p + (-1 * 2a + p * 2a) = 22 6p + (-2a + 2ap) = 22 Reorder the terms: -2a + 2ap + 6p = 22 Solving -2a + 2ap + 6p = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6p' to each side of the equation. -2a + 2ap + 6p + -6p = 22 + -6p Combine like terms: 6p + -6p = 0 -2a + 2ap + 0 = 22 + -6p -2a + 2ap = 22 + -6p Reorder the terms: -22 + -2a + 2ap + 6p = 22 + -6p + -22 + 6p Reorder the terms: -22 + -2a + 2ap + 6p = 22 + -22 + -6p + 6p Combine like terms: 22 + -22 = 0 -22 + -2a + 2ap + 6p = 0 + -6p + 6p -22 + -2a + 2ap + 6p = -6p + 6p Combine like terms: -6p + 6p = 0 -22 + -2a + 2ap + 6p = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + -1a + ap + 3p) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -1a + ap + 3p)' equal to zero and attempt to solve: Simplifying -11 + -1a + ap + 3p = 0 Solving -11 + -1a + ap + 3p = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -1a + ap + 11 + 3p = 0 + 11 Reorder the terms: -11 + 11 + -1a + ap + 3p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1a + ap + 3p = 0 + 11 -1a + ap + 3p = 0 + 11 Combine like terms: 0 + 11 = 11 -1a + ap + 3p = 11 Add '-3p' to each side of the equation. -1a + ap + 3p + -3p = 11 + -3p Combine like terms: 3p + -3p = 0 -1a + ap + 0 = 11 + -3p -1a + ap = 11 + -3p 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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