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Simplifying -6p + -1(1 + -8p) = 24 + 7p -6p + (1 * -1 + -8p * -1) = 24 + 7p -6p + (-1 + 8p) = 24 + 7p Reorder the terms: -1 + -6p + 8p = 24 + 7p Combine like terms: -6p + 8p = 2p -1 + 2p = 24 + 7p Solving -1 + 2p = 24 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -1 + 2p + -7p = 24 + 7p + -7p Combine like terms: 2p + -7p = -5p -1 + -5p = 24 + 7p + -7p Combine like terms: 7p + -7p = 0 -1 + -5p = 24 + 0 -1 + -5p = 24 Add '1' to each side of the equation. -1 + 1 + -5p = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -5p = 24 + 1 -5p = 24 + 1 Combine like terms: 24 + 1 = 25 -5p = 25 Divide each side by '-5'. p = -5 Simplifying p = -5
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