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Simplifying -6y(-1p + 8) = -6p + 12 Reorder the terms: -6y(8 + -1p) = -6p + 12 (8 * -6y + -1p * -6y) = -6p + 12 Reorder the terms: (6py + -48y) = -6p + 12 (6py + -48y) = -6p + 12 Reorder the terms: 6py + -48y = 12 + -6p Solving 6py + -48y = 12 + -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. 6py + 6p + -48y = 12 + -6p + 6p Reorder the terms: 6p + 6py + -48y = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 6p + 6py + -48y = 12 + 0 6p + 6py + -48y = 12 Add '48y' to each side of the equation. 6p + 6py + -48y + 48y = 12 + 48y Combine like terms: -48y + 48y = 0 6p + 6py + 0 = 12 + 48y 6p + 6py = 12 + 48y Reorder the terms: -12 + 6p + 6py + -48y = 12 + 48y + -12 + -48y Reorder the terms: -12 + 6p + 6py + -48y = 12 + -12 + 48y + -48y Combine like terms: 12 + -12 = 0 -12 + 6p + 6py + -48y = 0 + 48y + -48y -12 + 6p + 6py + -48y = 48y + -48y Combine like terms: 48y + -48y = 0 -12 + 6p + 6py + -48y = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + p + py + -8y) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + p + py + -8y)' equal to zero and attempt to solve: Simplifying -2 + p + py + -8y = 0 Solving -2 + p + py + -8y = 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 + py + 2 + -8y = 0 + 2 Reorder the terms: -2 + 2 + p + py + -8y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + p + py + -8y = 0 + 2 p + py + -8y = 0 + 2 Combine like terms: 0 + 2 = 2 p + py + -8y = 2 Add '8y' to each side of the equation. p + py + -8y + 8y = 2 + 8y Combine like terms: -8y + 8y = 0 p + py + 0 = 2 + 8y p + py = 2 + 8y 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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