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Simplifying p + 2(13) + 7 = 3p + 13 + -8 Multiply 2 * 13 p + 26 + 7 = 3p + 13 + -8 Reorder the terms: 26 + 7 + p = 3p + 13 + -8 Combine like terms: 26 + 7 = 33 33 + p = 3p + 13 + -8 Reorder the terms: 33 + p = 13 + -8 + 3p Combine like terms: 13 + -8 = 5 33 + p = 5 + 3p Solving 33 + p = 5 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 33 + p + -3p = 5 + 3p + -3p Combine like terms: p + -3p = -2p 33 + -2p = 5 + 3p + -3p Combine like terms: 3p + -3p = 0 33 + -2p = 5 + 0 33 + -2p = 5 Add '-33' to each side of the equation. 33 + -33 + -2p = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -2p = 5 + -33 -2p = 5 + -33 Combine like terms: 5 + -33 = -28 -2p = -28 Divide each side by '-2'. p = 14 Simplifying p = 14
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