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Simplifying -3(p + -4) + 6(-1 + 7p) = -72 Reorder the terms: -3(-4 + p) + 6(-1 + 7p) = -72 (-4 * -3 + p * -3) + 6(-1 + 7p) = -72 (12 + -3p) + 6(-1 + 7p) = -72 12 + -3p + (-1 * 6 + 7p * 6) = -72 12 + -3p + (-6 + 42p) = -72 Reorder the terms: 12 + -6 + -3p + 42p = -72 Combine like terms: 12 + -6 = 6 6 + -3p + 42p = -72 Combine like terms: -3p + 42p = 39p 6 + 39p = -72 Solving 6 + 39p = -72 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 39p = -72 + -6 Combine like terms: 6 + -6 = 0 0 + 39p = -72 + -6 39p = -72 + -6 Combine like terms: -72 + -6 = -78 39p = -78 Divide each side by '39'. p = -2 Simplifying p = -2
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