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Simplifying -84 = -7(p + 7) Reorder the terms: -84 = -7(7 + p) -84 = (7 * -7 + p * -7) -84 = (-49 + -7p) Solving -84 = -49 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -84 + 7p = -49 + -7p + 7p Combine like terms: -7p + 7p = 0 -84 + 7p = -49 + 0 -84 + 7p = -49 Add '84' to each side of the equation. -84 + 84 + 7p = -49 + 84 Combine like terms: -84 + 84 = 0 0 + 7p = -49 + 84 7p = -49 + 84 Combine like terms: -49 + 84 = 35 7p = 35 Divide each side by '7'. p = 5 Simplifying p = 5
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