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Simplifying -78 = -6(p + -4) Reorder the terms: -78 = -6(-4 + p) -78 = (-4 * -6 + p * -6) -78 = (24 + -6p) Solving -78 = 24 + -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. -78 + 6p = 24 + -6p + 6p Combine like terms: -6p + 6p = 0 -78 + 6p = 24 + 0 -78 + 6p = 24 Add '78' to each side of the equation. -78 + 78 + 6p = 24 + 78 Combine like terms: -78 + 78 = 0 0 + 6p = 24 + 78 6p = 24 + 78 Combine like terms: 24 + 78 = 102 6p = 102 Divide each side by '6'. p = 17 Simplifying p = 17
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