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Simplifying 7 = 2(p + 24) Reorder the terms: 7 = 2(24 + p) 7 = (24 * 2 + p * 2) 7 = (48 + 2p) Solving 7 = 48 + 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. 7 + -2p = 48 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + -2p = 48 + 0 7 + -2p = 48 Add '-7' to each side of the equation. 7 + -7 + -2p = 48 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = 48 + -7 -2p = 48 + -7 Combine like terms: 48 + -7 = 41 -2p = 41 Divide each side by '-2'. p = -20.5 Simplifying p = -20.5
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