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Simplifying 2(2p + 3) + -8 = 41 Reorder the terms: 2(3 + 2p) + -8 = 41 (3 * 2 + 2p * 2) + -8 = 41 (6 + 4p) + -8 = 41 Reorder the terms: 6 + -8 + 4p = 41 Combine like terms: 6 + -8 = -2 -2 + 4p = 41 Solving -2 + 4p = 41 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4p = 41 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = 41 + 2 4p = 41 + 2 Combine like terms: 41 + 2 = 43 4p = 43 Divide each side by '4'. p = 10.75 Simplifying p = 10.75
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