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Simplifying 6(p + -5) + -1(4p + 9) = 25 Reorder the terms: 6(-5 + p) + -1(4p + 9) = 25 (-5 * 6 + p * 6) + -1(4p + 9) = 25 (-30 + 6p) + -1(4p + 9) = 25 Reorder the terms: -30 + 6p + -1(9 + 4p) = 25 -30 + 6p + (9 * -1 + 4p * -1) = 25 -30 + 6p + (-9 + -4p) = 25 Reorder the terms: -30 + -9 + 6p + -4p = 25 Combine like terms: -30 + -9 = -39 -39 + 6p + -4p = 25 Combine like terms: 6p + -4p = 2p -39 + 2p = 25 Solving -39 + 2p = 25 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 2p = 25 + 39 Combine like terms: -39 + 39 = 0 0 + 2p = 25 + 39 2p = 25 + 39 Combine like terms: 25 + 39 = 64 2p = 64 Divide each side by '2'. p = 32 Simplifying p = 32
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