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Simplifying -5 + -14 = 2p + 3 + -10p + 1 Combine like terms: -5 + -14 = -19 -19 = 2p + 3 + -10p + 1 Reorder the terms: -19 = 3 + 1 + 2p + -10p Combine like terms: 3 + 1 = 4 -19 = 4 + 2p + -10p Combine like terms: 2p + -10p = -8p -19 = 4 + -8p Solving -19 = 4 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -19 + 8p = 4 + -8p + 8p Combine like terms: -8p + 8p = 0 -19 + 8p = 4 + 0 -19 + 8p = 4 Add '19' to each side of the equation. -19 + 19 + 8p = 4 + 19 Combine like terms: -19 + 19 = 0 0 + 8p = 4 + 19 8p = 4 + 19 Combine like terms: 4 + 19 = 23 8p = 23 Divide each side by '8'. p = 2.875 Simplifying p = 2.875
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