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Simplifying 3(p + -8) + 4p = 5p + 10 Reorder the terms: 3(-8 + p) + 4p = 5p + 10 (-8 * 3 + p * 3) + 4p = 5p + 10 (-24 + 3p) + 4p = 5p + 10 Combine like terms: 3p + 4p = 7p -24 + 7p = 5p + 10 Reorder the terms: -24 + 7p = 10 + 5p Solving -24 + 7p = 10 + 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. -24 + 7p + -5p = 10 + 5p + -5p Combine like terms: 7p + -5p = 2p -24 + 2p = 10 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 2p = 10 + 0 -24 + 2p = 10 Add '24' to each side of the equation. -24 + 24 + 2p = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = 10 + 24 2p = 10 + 24 Combine like terms: 10 + 24 = 34 2p = 34 Divide each side by '2'. p = 17 Simplifying p = 17
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