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Simplifying -3(2p + 12) + -24 = -2(p + 13) + 10 Reorder the terms: -3(12 + 2p) + -24 = -2(p + 13) + 10 (12 * -3 + 2p * -3) + -24 = -2(p + 13) + 10 (-36 + -6p) + -24 = -2(p + 13) + 10 Reorder the terms: -36 + -24 + -6p = -2(p + 13) + 10 Combine like terms: -36 + -24 = -60 -60 + -6p = -2(p + 13) + 10 Reorder the terms: -60 + -6p = -2(13 + p) + 10 -60 + -6p = (13 * -2 + p * -2) + 10 -60 + -6p = (-26 + -2p) + 10 Reorder the terms: -60 + -6p = -26 + 10 + -2p Combine like terms: -26 + 10 = -16 -60 + -6p = -16 + -2p Solving -60 + -6p = -16 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -60 + -6p + 2p = -16 + -2p + 2p Combine like terms: -6p + 2p = -4p -60 + -4p = -16 + -2p + 2p Combine like terms: -2p + 2p = 0 -60 + -4p = -16 + 0 -60 + -4p = -16 Add '60' to each side of the equation. -60 + 60 + -4p = -16 + 60 Combine like terms: -60 + 60 = 0 0 + -4p = -16 + 60 -4p = -16 + 60 Combine like terms: -16 + 60 = 44 -4p = 44 Divide each side by '-4'. p = -11 Simplifying p = -11
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