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Simplifying 6(2p + -4) = 9p + -51 Reorder the terms: 6(-4 + 2p) = 9p + -51 (-4 * 6 + 2p * 6) = 9p + -51 (-24 + 12p) = 9p + -51 Reorder the terms: -24 + 12p = -51 + 9p Solving -24 + 12p = -51 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -24 + 12p + -9p = -51 + 9p + -9p Combine like terms: 12p + -9p = 3p -24 + 3p = -51 + 9p + -9p Combine like terms: 9p + -9p = 0 -24 + 3p = -51 + 0 -24 + 3p = -51 Add '24' to each side of the equation. -24 + 24 + 3p = -51 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -51 + 24 3p = -51 + 24 Combine like terms: -51 + 24 = -27 3p = -27 Divide each side by '3'. p = -9 Simplifying p = -9
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