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Simplifying 2p + -3(3 + -2p) = 4(p + -5) 2p + (3 * -3 + -2p * -3) = 4(p + -5) 2p + (-9 + 6p) = 4(p + -5) Reorder the terms: -9 + 2p + 6p = 4(p + -5) Combine like terms: 2p + 6p = 8p -9 + 8p = 4(p + -5) Reorder the terms: -9 + 8p = 4(-5 + p) -9 + 8p = (-5 * 4 + p * 4) -9 + 8p = (-20 + 4p) Solving -9 + 8p = -20 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -9 + 8p + -4p = -20 + 4p + -4p Combine like terms: 8p + -4p = 4p -9 + 4p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 -9 + 4p = -20 + 0 -9 + 4p = -20 Add '9' to each side of the equation. -9 + 9 + 4p = -20 + 9 Combine like terms: -9 + 9 = 0 0 + 4p = -20 + 9 4p = -20 + 9 Combine like terms: -20 + 9 = -11 4p = -11 Divide each side by '4'. p = -2.75 Simplifying p = -2.75
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