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Simplifying -3p + 2(1 + -1p) = 3p + -1(-2)(1 + -1p) -3p + (1 * 2 + -1p * 2) = 3p + -1(-2)(1 + -1p) -3p + (2 + -2p) = 3p + -1(-2)(1 + -1p) Reorder the terms: 2 + -3p + -2p = 3p + -1(-2)(1 + -1p) Combine like terms: -3p + -2p = -5p 2 + -5p = 3p + -1(-2)(1 + -1p) Multiply -1 * -2 2 + -5p = 3p + 2(1 + -1p) 2 + -5p = 3p + (1 * 2 + -1p * 2) 2 + -5p = 3p + (2 + -2p) Reorder the terms: 2 + -5p = 2 + 3p + -2p Combine like terms: 3p + -2p = 1p 2 + -5p = 2 + 1p Add '-2' to each side of the equation. 2 + -2 + -5p = 2 + -2 + 1p Combine like terms: 2 + -2 = 0 0 + -5p = 2 + -2 + 1p -5p = 2 + -2 + 1p Combine like terms: 2 + -2 = 0 -5p = 0 + 1p -5p = 1p Solving -5p = 1p 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. -5p + -1p = 1p + -1p Combine like terms: -5p + -1p = -6p -6p = 1p + -1p Combine like terms: 1p + -1p = 0 -6p = 0 Divide each side by '-6'. p = 0 Simplifying p = 0
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