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Simplifying -5p + -1(p + 7) = 33 + 2p Reorder the terms: -5p + -1(7 + p) = 33 + 2p -5p + (7 * -1 + p * -1) = 33 + 2p -5p + (-7 + -1p) = 33 + 2p Reorder the terms: -7 + -5p + -1p = 33 + 2p Combine like terms: -5p + -1p = -6p -7 + -6p = 33 + 2p Solving -7 + -6p = 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. -7 + -6p + -2p = 33 + 2p + -2p Combine like terms: -6p + -2p = -8p -7 + -8p = 33 + 2p + -2p Combine like terms: 2p + -2p = 0 -7 + -8p = 33 + 0 -7 + -8p = 33 Add '7' to each side of the equation. -7 + 7 + -8p = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -8p = 33 + 7 -8p = 33 + 7 Combine like terms: 33 + 7 = 40 -8p = 40 Divide each side by '-8'. p = -5 Simplifying p = -5
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