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Simplifying p + -6 = 15 + -2p Reorder the terms: -6 + p = 15 + -2p Solving -6 + p = 15 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -6 + p + 2p = 15 + -2p + 2p Combine like terms: p + 2p = 3p -6 + 3p = 15 + -2p + 2p Combine like terms: -2p + 2p = 0 -6 + 3p = 15 + 0 -6 + 3p = 15 Add '6' to each side of the equation. -6 + 6 + 3p = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3p = 15 + 6 3p = 15 + 6 Combine like terms: 15 + 6 = 21 3p = 21 Divide each side by '3'. p = 7 Simplifying p = 7
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