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