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Simplifying 15 + -4(p + -5) = -2p + 5 Reorder the terms: 15 + -4(-5 + p) = -2p + 5 15 + (-5 * -4 + p * -4) = -2p + 5 15 + (20 + -4p) = -2p + 5 Combine like terms: 15 + 20 = 35 35 + -4p = -2p + 5 Reorder the terms: 35 + -4p = 5 + -2p Solving 35 + -4p = 5 + -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 + -4p + 2p = 5 + -2p + 2p Combine like terms: -4p + 2p = -2p 35 + -2p = 5 + -2p + 2p Combine like terms: -2p + 2p = 0 35 + -2p = 5 + 0 35 + -2p = 5 Add '-35' to each side of the equation. 35 + -35 + -2p = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -2p = 5 + -35 -2p = 5 + -35 Combine like terms: 5 + -35 = -30 -2p = -30 Divide each side by '-2'. p = 15 Simplifying p = 15
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