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Simplifying -3p + -5(4 + -2p) = 5(p + -3) + -11 -3p + (4 * -5 + -2p * -5) = 5(p + -3) + -11 -3p + (-20 + 10p) = 5(p + -3) + -11 Reorder the terms: -20 + -3p + 10p = 5(p + -3) + -11 Combine like terms: -3p + 10p = 7p -20 + 7p = 5(p + -3) + -11 Reorder the terms: -20 + 7p = 5(-3 + p) + -11 -20 + 7p = (-3 * 5 + p * 5) + -11 -20 + 7p = (-15 + 5p) + -11 Reorder the terms: -20 + 7p = -15 + -11 + 5p Combine like terms: -15 + -11 = -26 -20 + 7p = -26 + 5p Solving -20 + 7p = -26 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -20 + 7p + -5p = -26 + 5p + -5p Combine like terms: 7p + -5p = 2p -20 + 2p = -26 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 2p = -26 + 0 -20 + 2p = -26 Add '20' to each side of the equation. -20 + 20 + 2p = -26 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -26 + 20 2p = -26 + 20 Combine like terms: -26 + 20 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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