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Simplifying -3(8p + -1) = 2p + 29 Reorder the terms: -3(-1 + 8p) = 2p + 29 (-1 * -3 + 8p * -3) = 2p + 29 (3 + -24p) = 2p + 29 Reorder the terms: 3 + -24p = 29 + 2p Solving 3 + -24p = 29 + 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. 3 + -24p + -2p = 29 + 2p + -2p Combine like terms: -24p + -2p = -26p 3 + -26p = 29 + 2p + -2p Combine like terms: 2p + -2p = 0 3 + -26p = 29 + 0 3 + -26p = 29 Add '-3' to each side of the equation. 3 + -3 + -26p = 29 + -3 Combine like terms: 3 + -3 = 0 0 + -26p = 29 + -3 -26p = 29 + -3 Combine like terms: 29 + -3 = 26 -26p = 26 Divide each side by '-26'. p = -1 Simplifying p = -1
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