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Simplifying 6p + -4(p + 5) = 38 Reorder the terms: 6p + -4(5 + p) = 38 6p + (5 * -4 + p * -4) = 38 6p + (-20 + -4p) = 38 Reorder the terms: -20 + 6p + -4p = 38 Combine like terms: 6p + -4p = 2p -20 + 2p = 38 Solving -20 + 2p = 38 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 2p = 38 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = 38 + 20 2p = 38 + 20 Combine like terms: 38 + 20 = 58 2p = 58 Divide each side by '2'. p = 29 Simplifying p = 29
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