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Simplifying 14 + -2(3tp + 1) = 6(4 + p) Reorder the terms: 14 + -2(1 + 3pt) = 6(4 + p) 14 + (1 * -2 + 3pt * -2) = 6(4 + p) 14 + (-2 + -6pt) = 6(4 + p) Combine like terms: 14 + -2 = 12 12 + -6pt = 6(4 + p) 12 + -6pt = (4 * 6 + p * 6) 12 + -6pt = (24 + 6p) Solving 12 + -6pt = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 12 + -6p + -6pt = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 12 + -6p + -6pt = 24 + 0 12 + -6p + -6pt = 24 Add '-12' to each side of the equation. 12 + -6p + -12 + -6pt = 24 + -12 Reorder the terms: 12 + -12 + -6p + -6pt = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -6p + -6pt = 24 + -12 -6p + -6pt = 24 + -12 Combine like terms: 24 + -12 = 12 -6p + -6pt = 12 Reorder the terms: -12 + -6p + -6pt = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -6p + -6pt = 0 Factor out the Greatest Common Factor (GCF), '-6'. -6(2 + p + pt) = 0 Ignore the factor -6.Subproblem 1
Set the factor '(2 + p + pt)' equal to zero and attempt to solve: Simplifying 2 + p + pt = 0 Solving 2 + p + pt = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + p + -2 + pt = 0 + -2 Reorder the terms: 2 + -2 + p + pt = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p + pt = 0 + -2 p + pt = 0 + -2 Combine like terms: 0 + -2 = -2 p + pt = -2 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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