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Simplifying -5p + -6(4 + -2p) = 5(p + -3) + -5 -5p + (4 * -6 + -2p * -6) = 5(p + -3) + -5 -5p + (-24 + 12p) = 5(p + -3) + -5 Reorder the terms: -24 + -5p + 12p = 5(p + -3) + -5 Combine like terms: -5p + 12p = 7p -24 + 7p = 5(p + -3) + -5 Reorder the terms: -24 + 7p = 5(-3 + p) + -5 -24 + 7p = (-3 * 5 + p * 5) + -5 -24 + 7p = (-15 + 5p) + -5 Reorder the terms: -24 + 7p = -15 + -5 + 5p Combine like terms: -15 + -5 = -20 -24 + 7p = -20 + 5p Solving -24 + 7p = -20 + 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. -24 + 7p + -5p = -20 + 5p + -5p Combine like terms: 7p + -5p = 2p -24 + 2p = -20 + 5p + -5p Combine like terms: 5p + -5p = 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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