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Simplifying 0p + (1 + -1p) = p + 0(1 + -1p) Anything times zero is zero. 0p + (1 + -1p) = p + 0(1 + -1p) Remove parenthesis around (1 + -1p) 0 + 1 + -1p = p + 0(1 + -1p) Combine like terms: 0 + 1 = 1 1 + -1p = p + 0(1 + -1p) Anything times zero is zero. 1 + -1p = p + 0(1 + -1p) Reorder the terms: 1 + -1p = 0 + p Remove the zero: 1 + -1p = p Solving 1 + -1p = 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. 1 + -1p + -1p = p + -1p Combine like terms: -1p + -1p = -2p 1 + -2p = p + -1p Combine like terms: p + -1p = 0 1 + -2p = 0 Add '-1' to each side of the equation. 1 + -1 + -2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2p = 0 + -1 -2p = 0 + -1 Combine like terms: 0 + -1 = -1 -2p = -1 Divide each side by '-2'. p = 0.5 Simplifying p = 0.5
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