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Simplifying 7p + -10 = 2 + 5(p + 5) Reorder the terms: -10 + 7p = 2 + 5(p + 5) Reorder the terms: -10 + 7p = 2 + 5(5 + p) -10 + 7p = 2 + (5 * 5 + p * 5) -10 + 7p = 2 + (25 + 5p) Combine like terms: 2 + 25 = 27 -10 + 7p = 27 + 5p Solving -10 + 7p = 27 + 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. -10 + 7p + -5p = 27 + 5p + -5p Combine like terms: 7p + -5p = 2p -10 + 2p = 27 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 2p = 27 + 0 -10 + 2p = 27 Add '10' to each side of the equation. -10 + 10 + 2p = 27 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = 27 + 10 2p = 27 + 10 Combine like terms: 27 + 10 = 37 2p = 37 Divide each side by '2'. p = 18.5 Simplifying p = 18.5
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