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Simplifying -3p + -4(6 + -2p) = 3(p + -3) + -11 -3p + (6 * -4 + -2p * -4) = 3(p + -3) + -11 -3p + (-24 + 8p) = 3(p + -3) + -11 Reorder the terms: -24 + -3p + 8p = 3(p + -3) + -11 Combine like terms: -3p + 8p = 5p -24 + 5p = 3(p + -3) + -11 Reorder the terms: -24 + 5p = 3(-3 + p) + -11 -24 + 5p = (-3 * 3 + p * 3) + -11 -24 + 5p = (-9 + 3p) + -11 Reorder the terms: -24 + 5p = -9 + -11 + 3p Combine like terms: -9 + -11 = -20 -24 + 5p = -20 + 3p Solving -24 + 5p = -20 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -24 + 5p + -3p = -20 + 3p + -3p Combine like terms: 5p + -3p = 2p -24 + 2p = -20 + 3p + -3p Combine like terms: 3p + -3p = 0 -24 + 2p = -20 + 0 -24 + 2p = -20 Add '24' to each side of the equation. -24 + 24 + 2p = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -20 + 24 2p = -20 + 24 Combine like terms: -20 + 24 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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