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Simplifying 3p + -4(p + -2) + 3(p + 5) = 13 Reorder the terms: 3p + -4(-2 + p) + 3(p + 5) = 13 3p + (-2 * -4 + p * -4) + 3(p + 5) = 13 3p + (8 + -4p) + 3(p + 5) = 13 Reorder the terms: 3p + 8 + -4p + 3(5 + p) = 13 3p + 8 + -4p + (5 * 3 + p * 3) = 13 3p + 8 + -4p + (15 + 3p) = 13 Reorder the terms: 8 + 15 + 3p + -4p + 3p = 13 Combine like terms: 8 + 15 = 23 23 + 3p + -4p + 3p = 13 Combine like terms: 3p + -4p = -1p 23 + -1p + 3p = 13 Combine like terms: -1p + 3p = 2p 23 + 2p = 13 Solving 23 + 2p = 13 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2p = 13 + -23 Combine like terms: 23 + -23 = 0 0 + 2p = 13 + -23 2p = 13 + -23 Combine like terms: 13 + -23 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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