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Simplifying -6(4p + -1) = 2p + -20 Reorder the terms: -6(-1 + 4p) = 2p + -20 (-1 * -6 + 4p * -6) = 2p + -20 (6 + -24p) = 2p + -20 Reorder the terms: 6 + -24p = -20 + 2p Solving 6 + -24p = -20 + 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. 6 + -24p + -2p = -20 + 2p + -2p Combine like terms: -24p + -2p = -26p 6 + -26p = -20 + 2p + -2p Combine like terms: 2p + -2p = 0 6 + -26p = -20 + 0 6 + -26p = -20 Add '-6' to each side of the equation. 6 + -6 + -26p = -20 + -6 Combine like terms: 6 + -6 = 0 0 + -26p = -20 + -6 -26p = -20 + -6 Combine like terms: -20 + -6 = -26 -26p = -26 Divide each side by '-26'. p = 1 Simplifying p = 1
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