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Simplifying 15 = 2(p + 4) + 3 Reorder the terms: 15 = 2(4 + p) + 3 15 = (4 * 2 + p * 2) + 3 15 = (8 + 2p) + 3 Reorder the terms: 15 = 8 + 3 + 2p Combine like terms: 8 + 3 = 11 15 = 11 + 2p Solving 15 = 11 + 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. 15 + -2p = 11 + 2p + -2p Combine like terms: 2p + -2p = 0 15 + -2p = 11 + 0 15 + -2p = 11 Add '-15' to each side of the equation. 15 + -15 + -2p = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -2p = 11 + -15 -2p = 11 + -15 Combine like terms: 11 + -15 = -4 -2p = -4 Divide each side by '-2'. p = 2 Simplifying p = 2
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