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Simplifying -1(p + 5) = -21 + p Reorder the terms: -1(5 + p) = -21 + p (5 * -1 + p * -1) = -21 + p (-5 + -1p) = -21 + p Solving -5 + -1p = -21 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -5 + -1p + -1p = -21 + p + -1p Combine like terms: -1p + -1p = -2p -5 + -2p = -21 + p + -1p Combine like terms: p + -1p = 0 -5 + -2p = -21 + 0 -5 + -2p = -21 Add '5' to each side of the equation. -5 + 5 + -2p = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -2p = -21 + 5 -2p = -21 + 5 Combine like terms: -21 + 5 = -16 -2p = -16 Divide each side by '-2'. p = 8 Simplifying p = 8
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