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Simplifying -2(5 + -1p) = -6(2p + -10) (5 * -2 + -1p * -2) = -6(2p + -10) (-10 + 2p) = -6(2p + -10) Reorder the terms: -10 + 2p = -6(-10 + 2p) -10 + 2p = (-10 * -6 + 2p * -6) -10 + 2p = (60 + -12p) Solving -10 + 2p = 60 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -10 + 2p + 12p = 60 + -12p + 12p Combine like terms: 2p + 12p = 14p -10 + 14p = 60 + -12p + 12p Combine like terms: -12p + 12p = 0 -10 + 14p = 60 + 0 -10 + 14p = 60 Add '10' to each side of the equation. -10 + 10 + 14p = 60 + 10 Combine like terms: -10 + 10 = 0 0 + 14p = 60 + 10 14p = 60 + 10 Combine like terms: 60 + 10 = 70 14p = 70 Divide each side by '14'. p = 5 Simplifying p = 5
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