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Simplifying -1(1 + 3p) = -1(-4 + -2p) (1 * -1 + 3p * -1) = -1(-4 + -2p) (-1 + -3p) = -1(-4 + -2p) -1 + -3p = (-4 * -1 + -2p * -1) -1 + -3p = (4 + 2p) Solving -1 + -3p = 4 + 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. -1 + -3p + -2p = 4 + 2p + -2p Combine like terms: -3p + -2p = -5p -1 + -5p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 -1 + -5p = 4 + 0 -1 + -5p = 4 Add '1' to each side of the equation. -1 + 1 + -5p = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -5p = 4 + 1 -5p = 4 + 1 Combine like terms: 4 + 1 = 5 -5p = 5 Divide each side by '-5'. p = -1 Simplifying p = -1
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