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Simplifying -3(2 + 5p) + -8p = -2p + -6 (2 * -3 + 5p * -3) + -8p = -2p + -6 (-6 + -15p) + -8p = -2p + -6 Combine like terms: -15p + -8p = -23p -6 + -23p = -2p + -6 Reorder the terms: -6 + -23p = -6 + -2p Add '6' to each side of the equation. -6 + 6 + -23p = -6 + 6 + -2p Combine like terms: -6 + 6 = 0 0 + -23p = -6 + 6 + -2p -23p = -6 + 6 + -2p Combine like terms: -6 + 6 = 0 -23p = 0 + -2p -23p = -2p Solving -23p = -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. -23p + 2p = -2p + 2p Combine like terms: -23p + 2p = -21p -21p = -2p + 2p Combine like terms: -2p + 2p = 0 -21p = 0 Divide each side by '-21'. p = 0 Simplifying p = 0
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