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Simplifying 8p + 4p + -14 = 4p + 7 Reorder the terms: -14 + 8p + 4p = 4p + 7 Combine like terms: 8p + 4p = 12p -14 + 12p = 4p + 7 Reorder the terms: -14 + 12p = 7 + 4p Solving -14 + 12p = 7 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -14 + 12p + -4p = 7 + 4p + -4p Combine like terms: 12p + -4p = 8p -14 + 8p = 7 + 4p + -4p Combine like terms: 4p + -4p = 0 -14 + 8p = 7 + 0 -14 + 8p = 7 Add '14' to each side of the equation. -14 + 14 + 8p = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 8p = 7 + 14 8p = 7 + 14 Combine like terms: 7 + 14 = 21 8p = 21 Divide each side by '8'. p = 2.625 Simplifying p = 2.625
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