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Simplifying -15p + -6(5 + -4p) = 6(p + -4) + -12 -15p + (5 * -6 + -4p * -6) = 6(p + -4) + -12 -15p + (-30 + 24p) = 6(p + -4) + -12 Reorder the terms: -30 + -15p + 24p = 6(p + -4) + -12 Combine like terms: -15p + 24p = 9p -30 + 9p = 6(p + -4) + -12 Reorder the terms: -30 + 9p = 6(-4 + p) + -12 -30 + 9p = (-4 * 6 + p * 6) + -12 -30 + 9p = (-24 + 6p) + -12 Reorder the terms: -30 + 9p = -24 + -12 + 6p Combine like terms: -24 + -12 = -36 -30 + 9p = -36 + 6p Solving -30 + 9p = -36 + 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. -30 + 9p + -6p = -36 + 6p + -6p Combine like terms: 9p + -6p = 3p -30 + 3p = -36 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 3p = -36 + 0 -30 + 3p = -36 Add '30' to each side of the equation. -30 + 30 + 3p = -36 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -36 + 30 3p = -36 + 30 Combine like terms: -36 + 30 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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