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Simplifying 20 + -5(p + -1) + 3p = (2p + -15) Reorder the terms: 20 + -5(-1 + p) + 3p = (2p + -15) 20 + (-1 * -5 + p * -5) + 3p = (2p + -15) 20 + (5 + -5p) + 3p = (2p + -15) Combine like terms: 20 + 5 = 25 25 + -5p + 3p = (2p + -15) Combine like terms: -5p + 3p = -2p 25 + -2p = (2p + -15) Reorder the terms: 25 + -2p = (-15 + 2p) Remove parenthesis around (-15 + 2p) 25 + -2p = -15 + 2p Solving 25 + -2p = -15 + 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. 25 + -2p + -2p = -15 + 2p + -2p Combine like terms: -2p + -2p = -4p 25 + -4p = -15 + 2p + -2p Combine like terms: 2p + -2p = 0 25 + -4p = -15 + 0 25 + -4p = -15 Add '-25' to each side of the equation. 25 + -25 + -4p = -15 + -25 Combine like terms: 25 + -25 = 0 0 + -4p = -15 + -25 -4p = -15 + -25 Combine like terms: -15 + -25 = -40 -4p = -40 Divide each side by '-4'. p = 10 Simplifying p = 10
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