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Simplifying -24p + -5(3 + -6p) = 4(p + -6) + -9 -24p + (3 * -5 + -6p * -5) = 4(p + -6) + -9 -24p + (-15 + 30p) = 4(p + -6) + -9 Reorder the terms: -15 + -24p + 30p = 4(p + -6) + -9 Combine like terms: -24p + 30p = 6p -15 + 6p = 4(p + -6) + -9 Reorder the terms: -15 + 6p = 4(-6 + p) + -9 -15 + 6p = (-6 * 4 + p * 4) + -9 -15 + 6p = (-24 + 4p) + -9 Reorder the terms: -15 + 6p = -24 + -9 + 4p Combine like terms: -24 + -9 = -33 -15 + 6p = -33 + 4p Solving -15 + 6p = -33 + 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. -15 + 6p + -4p = -33 + 4p + -4p Combine like terms: 6p + -4p = 2p -15 + 2p = -33 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 2p = -33 + 0 -15 + 2p = -33 Add '15' to each side of the equation. -15 + 15 + 2p = -33 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -33 + 15 2p = -33 + 15 Combine like terms: -33 + 15 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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