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Simplifying -7(p + -5) = -10 + 2p Reorder the terms: -7(-5 + p) = -10 + 2p (-5 * -7 + p * -7) = -10 + 2p (35 + -7p) = -10 + 2p Solving 35 + -7p = -10 + 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. 35 + -7p + -2p = -10 + 2p + -2p Combine like terms: -7p + -2p = -9p 35 + -9p = -10 + 2p + -2p Combine like terms: 2p + -2p = 0 35 + -9p = -10 + 0 35 + -9p = -10 Add '-35' to each side of the equation. 35 + -35 + -9p = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -9p = -10 + -35 -9p = -10 + -35 Combine like terms: -10 + -35 = -45 -9p = -45 Divide each side by '-9'. p = 5 Simplifying p = 5
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