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Simplifying p + (-3p + 6) = 4a(-5p + 3) + -10p Reorder the terms: p + (6 + -3p) = 4a(-5p + 3) + -10p Remove parenthesis around (6 + -3p) p + 6 + -3p = 4a(-5p + 3) + -10p Reorder the terms: 6 + p + -3p = 4a(-5p + 3) + -10p Combine like terms: p + -3p = -2p 6 + -2p = 4a(-5p + 3) + -10p Reorder the terms: 6 + -2p = 4a(3 + -5p) + -10p 6 + -2p = (3 * 4a + -5p * 4a) + -10p 6 + -2p = (12a + -20ap) + -10p Solving 6 + -2p = 12a + -20ap + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20ap' to each side of the equation. 6 + 20ap + -2p = 12a + -20ap + 20ap + -10p Combine like terms: -20ap + 20ap = 0 6 + 20ap + -2p = 12a + 0 + -10p 6 + 20ap + -2p = 12a + -10p Add '10p' to each side of the equation. 6 + 20ap + -2p + 10p = 12a + -10p + 10p Combine like terms: -2p + 10p = 8p 6 + 20ap + 8p = 12a + -10p + 10p Combine like terms: -10p + 10p = 0 6 + 20ap + 8p = 12a + 0 6 + 20ap + 8p = 12a Add '-6' to each side of the equation. 6 + 20ap + -6 + 8p = -6 + 12a Reorder the terms: 6 + -6 + 20ap + 8p = -6 + 12a Combine like terms: 6 + -6 = 0 0 + 20ap + 8p = -6 + 12a 20ap + 8p = -6 + 12a Reorder the terms: 6 + -12a + 20ap + 8p = -6 + 12a + 6 + -12a Reorder the terms: 6 + -12a + 20ap + 8p = -6 + 6 + 12a + -12a Combine like terms: -6 + 6 = 0 6 + -12a + 20ap + 8p = 0 + 12a + -12a 6 + -12a + 20ap + 8p = 12a + -12a Combine like terms: 12a + -12a = 0 6 + -12a + 20ap + 8p = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -6a + 10ap + 4p) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -6a + 10ap + 4p)' equal to zero and attempt to solve: Simplifying 3 + -6a + 10ap + 4p = 0 Solving 3 + -6a + 10ap + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6a + 10ap + -3 + 4p = 0 + -3 Reorder the terms: 3 + -3 + -6a + 10ap + 4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6a + 10ap + 4p = 0 + -3 -6a + 10ap + 4p = 0 + -3 Combine like terms: 0 + -3 = -3 -6a + 10ap + 4p = -3 Add '6a' to each side of the equation. -6a + 10ap + 6a + 4p = -3 + 6a Reorder the terms: -6a + 6a + 10ap + 4p = -3 + 6a Combine like terms: -6a + 6a = 0 0 + 10ap + 4p = -3 + 6a 10ap + 4p = -3 + 6a 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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