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Simplifying -14 + -6p + 7p = 8p + 2 + -3p Combine like terms: -6p + 7p = 1p -14 + 1p = 8p + 2 + -3p Reorder the terms: -14 + 1p = 2 + 8p + -3p Combine like terms: 8p + -3p = 5p -14 + 1p = 2 + 5p Solving -14 + 1p = 2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -14 + 1p + -5p = 2 + 5p + -5p Combine like terms: 1p + -5p = -4p -14 + -4p = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 -14 + -4p = 2 + 0 -14 + -4p = 2 Add '14' to each side of the equation. -14 + 14 + -4p = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -4p = 2 + 14 -4p = 2 + 14 Combine like terms: 2 + 14 = 16 -4p = 16 Divide each side by '-4'. p = -4 Simplifying p = -4
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