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Simplifying -5p + -2(1 + -1p) = -6p + -1(1 + -1p) -5p + (1 * -2 + -1p * -2) = -6p + -1(1 + -1p) -5p + (-2 + 2p) = -6p + -1(1 + -1p) Reorder the terms: -2 + -5p + 2p = -6p + -1(1 + -1p) Combine like terms: -5p + 2p = -3p -2 + -3p = -6p + -1(1 + -1p) -2 + -3p = -6p + (1 * -1 + -1p * -1) -2 + -3p = -6p + (-1 + 1p) Reorder the terms: -2 + -3p = -1 + -6p + 1p Combine like terms: -6p + 1p = -5p -2 + -3p = -1 + -5p Solving -2 + -3p = -1 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -2 + -3p + 5p = -1 + -5p + 5p Combine like terms: -3p + 5p = 2p -2 + 2p = -1 + -5p + 5p Combine like terms: -5p + 5p = 0 -2 + 2p = -1 + 0 -2 + 2p = -1 Add '2' to each side of the equation. -2 + 2 + 2p = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 2p = -1 + 2 2p = -1 + 2 Combine like terms: -1 + 2 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5
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