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Simplifying -27 = -3pt + 15 + -3p Reorder the terms: -27 = 15 + -3p + -3pt Solving -27 = 15 + -3p + -3pt Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -27 + 3p = 15 + -3p + 3p + -3pt Combine like terms: -3p + 3p = 0 -27 + 3p = 15 + 0 + -3pt -27 + 3p = 15 + -3pt Add '3pt' to each side of the equation. -27 + 3p + 3pt = 15 + -3pt + 3pt Combine like terms: -3pt + 3pt = 0 -27 + 3p + 3pt = 15 + 0 -27 + 3p + 3pt = 15 Add '27' to each side of the equation. -27 + 3p + 27 + 3pt = 15 + 27 Reorder the terms: -27 + 27 + 3p + 3pt = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 3p + 3pt = 15 + 27 3p + 3pt = 15 + 27 Combine like terms: 15 + 27 = 42 3p + 3pt = 42 Reorder the terms: -42 + 3p + 3pt = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + 3p + 3pt = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-14 + p + pt) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-14 + p + pt)' equal to zero and attempt to solve: Simplifying -14 + p + pt = 0 Solving -14 + p + pt = 0 Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + p + 14 + pt = 0 + 14 Reorder the terms: -14 + 14 + p + pt = 0 + 14 Combine like terms: -14 + 14 = 0 0 + p + pt = 0 + 14 p + pt = 0 + 14 Combine like terms: 0 + 14 = 14 p + pt = 14 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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