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Simplifying -5p + -4(6 + -3p) = 5(p + -4) + -12 -5p + (6 * -4 + -3p * -4) = 5(p + -4) + -12 -5p + (-24 + 12p) = 5(p + -4) + -12 Reorder the terms: -24 + -5p + 12p = 5(p + -4) + -12 Combine like terms: -5p + 12p = 7p -24 + 7p = 5(p + -4) + -12 Reorder the terms: -24 + 7p = 5(-4 + p) + -12 -24 + 7p = (-4 * 5 + p * 5) + -12 -24 + 7p = (-20 + 5p) + -12 Reorder the terms: -24 + 7p = -20 + -12 + 5p Combine like terms: -20 + -12 = -32 -24 + 7p = -32 + 5p Solving -24 + 7p = -32 + 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 = -32 + 5p + -5p Combine like terms: 7p + -5p = 2p -24 + 2p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 2p = -32 + 0 -24 + 2p = -32 Add '24' to each side of the equation. -24 + 24 + 2p = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -32 + 24 2p = -32 + 24 Combine like terms: -32 + 24 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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