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Simplifying 2(p + 15) + p + 6 + p + -2 = 42 Reorder the terms: 2(15 + p) + p + 6 + p + -2 = 42 (15 * 2 + p * 2) + p + 6 + p + -2 = 42 (30 + 2p) + p + 6 + p + -2 = 42 Reorder the terms: 30 + 6 + -2 + 2p + p + p = 42 Combine like terms: 30 + 6 = 36 36 + -2 + 2p + p + p = 42 Combine like terms: 36 + -2 = 34 34 + 2p + p + p = 42 Combine like terms: 2p + p = 3p 34 + 3p + p = 42 Combine like terms: 3p + p = 4p 34 + 4p = 42 Solving 34 + 4p = 42 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 4p = 42 + -34 Combine like terms: 34 + -34 = 0 0 + 4p = 42 + -34 4p = 42 + -34 Combine like terms: 42 + -34 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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