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Simplifying 34 = 6 + 2(p + 5) Reorder the terms: 34 = 6 + 2(5 + p) 34 = 6 + (5 * 2 + p * 2) 34 = 6 + (10 + 2p) Combine like terms: 6 + 10 = 16 34 = 16 + 2p Solving 34 = 16 + 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. 34 + -2p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 34 + -2p = 16 + 0 34 + -2p = 16 Add '-34' to each side of the equation. 34 + -34 + -2p = 16 + -34 Combine like terms: 34 + -34 = 0 0 + -2p = 16 + -34 -2p = 16 + -34 Combine like terms: 16 + -34 = -18 -2p = -18 Divide each side by '-2'. p = 9 Simplifying p = 9
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