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Simplifying -5p + -6(4 + -2p) = 5(p + -2) + -4 -5p + (4 * -6 + -2p * -6) = 5(p + -2) + -4 -5p + (-24 + 12p) = 5(p + -2) + -4 Reorder the terms: -24 + -5p + 12p = 5(p + -2) + -4 Combine like terms: -5p + 12p = 7p -24 + 7p = 5(p + -2) + -4 Reorder the terms: -24 + 7p = 5(-2 + p) + -4 -24 + 7p = (-2 * 5 + p * 5) + -4 -24 + 7p = (-10 + 5p) + -4 Reorder the terms: -24 + 7p = -10 + -4 + 5p Combine like terms: -10 + -4 = -14 -24 + 7p = -14 + 5p Solving -24 + 7p = -14 + 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 = -14 + 5p + -5p Combine like terms: 7p + -5p = 2p -24 + 2p = -14 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 2p = -14 + 0 -24 + 2p = -14 Add '24' to each side of the equation. -24 + 24 + 2p = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -14 + 24 2p = -14 + 24 Combine like terms: -14 + 24 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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