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Simplifying 8(p + -1a) + -6 = 2(ap + -5) Reorder the terms: 8(-1a + p) + -6 = 2(ap + -5) (-1a * 8 + p * 8) + -6 = 2(ap + -5) (-8a + 8p) + -6 = 2(ap + -5) Reorder the terms: -6 + -8a + 8p = 2(ap + -5) Reorder the terms: -6 + -8a + 8p = 2(-5 + ap) -6 + -8a + 8p = (-5 * 2 + ap * 2) -6 + -8a + 8p = (-10 + 2ap) Solving -6 + -8a + 8p = -10 + 2ap Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ap' to each side of the equation. -6 + -8a + -2ap + 8p = -10 + 2ap + -2ap Combine like terms: 2ap + -2ap = 0 -6 + -8a + -2ap + 8p = -10 + 0 -6 + -8a + -2ap + 8p = -10 Add '6' to each side of the equation. -6 + -8a + -2ap + 6 + 8p = -10 + 6 Reorder the terms: -6 + 6 + -8a + -2ap + 8p = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -8a + -2ap + 8p = -10 + 6 -8a + -2ap + 8p = -10 + 6 Combine like terms: -10 + 6 = -4 -8a + -2ap + 8p = -4 Add '-8p' to each side of the equation. -8a + -2ap + 8p + -8p = -4 + -8p Combine like terms: 8p + -8p = 0 -8a + -2ap + 0 = -4 + -8p -8a + -2ap = -4 + -8p Reorder the terms: 4 + -8a + -2ap + 8p = -4 + -8p + 4 + 8p Reorder the terms: 4 + -8a + -2ap + 8p = -4 + 4 + -8p + 8p Combine like terms: -4 + 4 = 0 4 + -8a + -2ap + 8p = 0 + -8p + 8p 4 + -8a + -2ap + 8p = -8p + 8p Combine like terms: -8p + 8p = 0 4 + -8a + -2ap + 8p = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -4a + -1ap + 4p) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -4a + -1ap + 4p)' equal to zero and attempt to solve: Simplifying 2 + -4a + -1ap + 4p = 0 Solving 2 + -4a + -1ap + 4p = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4a + -1ap + -2 + 4p = 0 + -2 Reorder the terms: 2 + -2 + -4a + -1ap + 4p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4a + -1ap + 4p = 0 + -2 -4a + -1ap + 4p = 0 + -2 Combine like terms: 0 + -2 = -2 -4a + -1ap + 4p = -2 Add '-4p' to each side of the equation. -4a + -1ap + 4p + -4p = -2 + -4p Combine like terms: 4p + -4p = 0 -4a + -1ap + 0 = -2 + -4p -4a + -1ap = -2 + -4p 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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