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Simplifying 5(z + -3) + 2p = 41 Reorder the terms: 5(-3 + z) + 2p = 41 (-3 * 5 + z * 5) + 2p = 41 (-15 + 5z) + 2p = 41 Reorder the terms: -15 + 2p + 5z = 41 Solving -15 + 2p + 5z = 41 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 2p + 15 + 5z = 41 + 15 Reorder the terms: -15 + 15 + 2p + 5z = 41 + 15 Combine like terms: -15 + 15 = 0 0 + 2p + 5z = 41 + 15 2p + 5z = 41 + 15 Combine like terms: 41 + 15 = 56 2p + 5z = 56 Add '-5z' to each side of the equation. 2p + 5z + -5z = 56 + -5z Combine like terms: 5z + -5z = 0 2p + 0 = 56 + -5z 2p = 56 + -5z Divide each side by '2'. p = 28 + -2.5z Simplifying p = 28 + -2.5z
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