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