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Simplifying 3(p + -1z) = p + 7 (p * 3 + -1z * 3) = p + 7 (3p + -3z) = p + 7 Reorder the terms: 3p + -3z = 7 + p Solving 3p + -3z = 7 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 3p + -1p + -3z = 7 + p + -1p Combine like terms: 3p + -1p = 2p 2p + -3z = 7 + p + -1p Combine like terms: p + -1p = 0 2p + -3z = 7 + 0 2p + -3z = 7 Add '3z' to each side of the equation. 2p + -3z + 3z = 7 + 3z Combine like terms: -3z + 3z = 0 2p + 0 = 7 + 3z 2p = 7 + 3z Divide each side by '2'. p = 3.5 + 1.5z Simplifying p = 3.5 + 1.5z
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