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Simplifying -5 + -3(1 + -8p) = 18 + -2p -5 + (1 * -3 + -8p * -3) = 18 + -2p -5 + (-3 + 24p) = 18 + -2p Combine like terms: -5 + -3 = -8 -8 + 24p = 18 + -2p Solving -8 + 24p = 18 + -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. -8 + 24p + 2p = 18 + -2p + 2p Combine like terms: 24p + 2p = 26p -8 + 26p = 18 + -2p + 2p Combine like terms: -2p + 2p = 0 -8 + 26p = 18 + 0 -8 + 26p = 18 Add '8' to each side of the equation. -8 + 8 + 26p = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 26p = 18 + 8 26p = 18 + 8 Combine like terms: 18 + 8 = 26 26p = 26 Divide each side by '26'. p = 1 Simplifying p = 1
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