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Simplifying 3p + 2z + 1 = p(-2z + -1) Reorder the terms: 1 + 3p + 2z = p(-2z + -1) Reorder the terms: 1 + 3p + 2z = p(-1 + -2z) 1 + 3p + 2z = (-1 * p + -2z * p) 1 + 3p + 2z = (-1p + -2pz) Solving 1 + 3p + 2z = -1p + -2pz Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 1 + 3p + p + 2z = -1p + p + -2pz Combine like terms: 3p + p = 4p 1 + 4p + 2z = -1p + p + -2pz Combine like terms: -1p + p = 0 1 + 4p + 2z = 0 + -2pz 1 + 4p + 2z = -2pz Add '2pz' to each side of the equation. 1 + 4p + 2pz + 2z = -2pz + 2pz Combine like terms: -2pz + 2pz = 0 1 + 4p + 2pz + 2z = 0 Add '-1' to each side of the equation. 1 + 4p + 2pz + -1 + 2z = 0 + -1 Reorder the terms: 1 + -1 + 4p + 2pz + 2z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p + 2pz + 2z = 0 + -1 4p + 2pz + 2z = 0 + -1 Combine like terms: 0 + -1 = -1 4p + 2pz + 2z = -1 Add '-2z' to each side of the equation. 4p + 2pz + 2z + -2z = -1 + -2z Combine like terms: 2z + -2z = 0 4p + 2pz + 0 = -1 + -2z 4p + 2pz = -1 + -2z Reorder the terms: 1 + 4p + 2pz + 2z = -1 + -2z + 1 + 2z Reorder the terms: 1 + 4p + 2pz + 2z = -1 + 1 + -2z + 2z Combine like terms: -1 + 1 = 0 1 + 4p + 2pz + 2z = 0 + -2z + 2z 1 + 4p + 2pz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 1 + 4p + 2pz + 2z = 0 The solution to this equation could not be determined.
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