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Simplifying -15p + -6(4 + -4p) = 6(p + -4) + -27 -15p + (4 * -6 + -4p * -6) = 6(p + -4) + -27 -15p + (-24 + 24p) = 6(p + -4) + -27 Reorder the terms: -24 + -15p + 24p = 6(p + -4) + -27 Combine like terms: -15p + 24p = 9p -24 + 9p = 6(p + -4) + -27 Reorder the terms: -24 + 9p = 6(-4 + p) + -27 -24 + 9p = (-4 * 6 + p * 6) + -27 -24 + 9p = (-24 + 6p) + -27 Reorder the terms: -24 + 9p = -24 + -27 + 6p Combine like terms: -24 + -27 = -51 -24 + 9p = -51 + 6p Solving -24 + 9p = -51 + 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. -24 + 9p + -6p = -51 + 6p + -6p Combine like terms: 9p + -6p = 3p -24 + 3p = -51 + 6p + -6p Combine like terms: 6p + -6p = 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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