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Simplifying -2(1 + p) = -2(5 + -1p) + -3p (1 * -2 + p * -2) = -2(5 + -1p) + -3p (-2 + -2p) = -2(5 + -1p) + -3p -2 + -2p = (5 * -2 + -1p * -2) + -3p -2 + -2p = (-10 + 2p) + -3p Combine like terms: 2p + -3p = -1p -2 + -2p = -10 + -1p Solving -2 + -2p = -10 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -2 + -2p + p = -10 + -1p + p Combine like terms: -2p + p = -1p -2 + -1p = -10 + -1p + p Combine like terms: -1p + p = 0 -2 + -1p = -10 + 0 -2 + -1p = -10 Add '2' to each side of the equation. -2 + 2 + -1p = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -1p = -10 + 2 -1p = -10 + 2 Combine like terms: -10 + 2 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8
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