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Simplifying -7 + -2(1 + -8p) = 2p + 33 -7 + (1 * -2 + -8p * -2) = 2p + 33 -7 + (-2 + 16p) = 2p + 33 Combine like terms: -7 + -2 = -9 -9 + 16p = 2p + 33 Reorder the terms: -9 + 16p = 33 + 2p Solving -9 + 16p = 33 + 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. -9 + 16p + -2p = 33 + 2p + -2p Combine like terms: 16p + -2p = 14p -9 + 14p = 33 + 2p + -2p Combine like terms: 2p + -2p = 0 -9 + 14p = 33 + 0 -9 + 14p = 33 Add '9' to each side of the equation. -9 + 9 + 14p = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 14p = 33 + 9 14p = 33 + 9 Combine like terms: 33 + 9 = 42 14p = 42 Divide each side by '14'. p = 3 Simplifying p = 3
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