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Simplifying 3(p + -1) = p + 14 + -1 Reorder the terms: 3(-1 + p) = p + 14 + -1 (-1 * 3 + p * 3) = p + 14 + -1 (-3 + 3p) = p + 14 + -1 Reorder the terms: -3 + 3p = 14 + -1 + p Combine like terms: 14 + -1 = 13 -3 + 3p = 13 + p Solving -3 + 3p = 13 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -3 + 3p + -1p = 13 + p + -1p Combine like terms: 3p + -1p = 2p -3 + 2p = 13 + p + -1p Combine like terms: p + -1p = 0 -3 + 2p = 13 + 0 -3 + 2p = 13 Add '3' to each side of the equation. -3 + 3 + 2p = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = 13 + 3 2p = 13 + 3 Combine like terms: 13 + 3 = 16 2p = 16 Divide each side by '2'. p = 8 Simplifying p = 8
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