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Simplifying -6(4p + 4) + -15 = 3(2p + 7) Reorder the terms: -6(4 + 4p) + -15 = 3(2p + 7) (4 * -6 + 4p * -6) + -15 = 3(2p + 7) (-24 + -24p) + -15 = 3(2p + 7) Reorder the terms: -24 + -15 + -24p = 3(2p + 7) Combine like terms: -24 + -15 = -39 -39 + -24p = 3(2p + 7) Reorder the terms: -39 + -24p = 3(7 + 2p) -39 + -24p = (7 * 3 + 2p * 3) -39 + -24p = (21 + 6p) Solving -39 + -24p = 21 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -39 + -24p + -6p = 21 + 6p + -6p Combine like terms: -24p + -6p = -30p -39 + -30p = 21 + 6p + -6p Combine like terms: 6p + -6p = 0 -39 + -30p = 21 + 0 -39 + -30p = 21 Add '39' to each side of the equation. -39 + 39 + -30p = 21 + 39 Combine like terms: -39 + 39 = 0 0 + -30p = 21 + 39 -30p = 21 + 39 Combine like terms: 21 + 39 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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