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Simplifying 3p + 2z + 1 = p + -1(-2 + -1) Reorder the terms: 1 + 3p + 2z = p + -1(-2 + -1) Combine like terms: -2 + -1 = -3 1 + 3p + 2z = p + -1(-3) Multiply -1 * -3 1 + 3p + 2z = p + 3 Reorder the terms: 1 + 3p + 2z = 3 + p Solving 1 + 3p + 2z = 3 + 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. 1 + 3p + -1p + 2z = 3 + p + -1p Combine like terms: 3p + -1p = 2p 1 + 2p + 2z = 3 + p + -1p Combine like terms: p + -1p = 0 1 + 2p + 2z = 3 + 0 1 + 2p + 2z = 3 Add '-1' to each side of the equation. 1 + 2p + -1 + 2z = 3 + -1 Reorder the terms: 1 + -1 + 2p + 2z = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 2p + 2z = 3 + -1 2p + 2z = 3 + -1 Combine like terms: 3 + -1 = 2 2p + 2z = 2 Add '-2z' to each side of the equation. 2p + 2z + -2z = 2 + -2z Combine like terms: 2z + -2z = 0 2p + 0 = 2 + -2z 2p = 2 + -2z Divide each side by '2'. p = 1 + -1z Simplifying p = 1 + -1z
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