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Simplifying 3(p + 7) = 5(p + 5) Reorder the terms: 3(7 + p) = 5(p + 5) (7 * 3 + p * 3) = 5(p + 5) (21 + 3p) = 5(p + 5) Reorder the terms: 21 + 3p = 5(5 + p) 21 + 3p = (5 * 5 + p * 5) 21 + 3p = (25 + 5p) Solving 21 + 3p = 25 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 21 + 3p + -5p = 25 + 5p + -5p Combine like terms: 3p + -5p = -2p 21 + -2p = 25 + 5p + -5p Combine like terms: 5p + -5p = 0 21 + -2p = 25 + 0 21 + -2p = 25 Add '-21' to each side of the equation. 21 + -21 + -2p = 25 + -21 Combine like terms: 21 + -21 = 0 0 + -2p = 25 + -21 -2p = 25 + -21 Combine like terms: 25 + -21 = 4 -2p = 4 Divide each side by '-2'. p = -2 Simplifying p = -2
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