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Simplifying 5(p + 7) = 2p + 7 Reorder the terms: 5(7 + p) = 2p + 7 (7 * 5 + p * 5) = 2p + 7 (35 + 5p) = 2p + 7 Reorder the terms: 35 + 5p = 7 + 2p Solving 35 + 5p = 7 + 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. 35 + 5p + -2p = 7 + 2p + -2p Combine like terms: 5p + -2p = 3p 35 + 3p = 7 + 2p + -2p Combine like terms: 2p + -2p = 0 35 + 3p = 7 + 0 35 + 3p = 7 Add '-35' to each side of the equation. 35 + -35 + 3p = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 3p = 7 + -35 3p = 7 + -35 Combine like terms: 7 + -35 = -28 3p = -28 Divide each side by '3'. p = -9.333333333 Simplifying p = -9.333333333
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