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Simplifying -0.4 = -1p + -1(1p + -0.6) Reorder the terms: -0.4 = -1p + -1(-0.6 + 1p) -0.4 = -1p + (-0.6 * -1 + 1p * -1) -0.4 = -1p + (0.6 + -1p) Reorder the terms: -0.4 = 0.6 + -1p + -1p Combine like terms: -1p + -1p = -2p -0.4 = 0.6 + -2p Solving -0.4 = 0.6 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -0.4 + 2p = 0.6 + -2p + 2p Combine like terms: -2p + 2p = 0 -0.4 + 2p = 0.6 + 0 -0.4 + 2p = 0.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + 2p = 0.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 2p = 0.6 + 0.4 2p = 0.6 + 0.4 Combine like terms: 0.6 + 0.4 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5
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