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Simplifying -84 = -6(p + 7) Reorder the terms: -84 = -6(7 + p) -84 = (7 * -6 + p * -6) -84 = (-42 + -6p) Solving -84 = -42 + -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. -84 + 6p = -42 + -6p + 6p Combine like terms: -6p + 6p = 0 -84 + 6p = -42 + 0 -84 + 6p = -42 Add '84' to each side of the equation. -84 + 84 + 6p = -42 + 84 Combine like terms: -84 + 84 = 0 0 + 6p = -42 + 84 6p = -42 + 84 Combine like terms: -42 + 84 = 42 6p = 42 Divide each side by '6'. p = 7 Simplifying p = 7
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