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