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Simplifying 2(5p + -7) = 8p + 6 Reorder the terms: 2(-7 + 5p) = 8p + 6 (-7 * 2 + 5p * 2) = 8p + 6 (-14 + 10p) = 8p + 6 Reorder the terms: -14 + 10p = 6 + 8p Solving -14 + 10p = 6 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -14 + 10p + -8p = 6 + 8p + -8p Combine like terms: 10p + -8p = 2p -14 + 2p = 6 + 8p + -8p Combine like terms: 8p + -8p = 0 -14 + 2p = 6 + 0 -14 + 2p = 6 Add '14' to each side of the equation. -14 + 14 + 2p = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2p = 6 + 14 2p = 6 + 14 Combine like terms: 6 + 14 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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